{"id":70725,"date":"2019-03-21T15:25:27","date_gmt":"2019-03-21T09:55:27","guid":{"rendered":"https:\/\/hindi.theindianwire.com\/?p=70725"},"modified":"2019-03-21T15:25:27","modified_gmt":"2019-03-21T09:55:27","slug":"%e0%a4%a4%e0%a5%8d%e0%a4%b0%e0%a4%bf%e0%a4%95%e0%a5%8b%e0%a4%82%e0%a4%ae%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8","status":"publish","type":"post","link":"https:\/\/hindi.theindianwire.com\/%e0%a4%a4%e0%a5%8d%e0%a4%b0%e0%a4%bf%e0%a4%95%e0%a5%8b%e0%a4%82%e0%a4%ae%e0%a4%bf%e0%a4%a4%e0%a5%80%e0%a4%af-%e0%a4%ab%e0%a4%b2%e0%a4%a8-70725\/","title":{"rendered":"\u0924\u094d\u0930\u093f\u0915\u094b\u0902\u092e\u093f\u0924\u0940\u092f \u092b\u0932\u0928 \u090f\u0935\u0902 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0906\u0938\u093e\u0928 \u0924\u0930\u0940\u0915\u0947"},"content":{"rendered":"\n<h2>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u0915\u094d\u092f\u093e \u0939\u0948 ?<\/h2>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70605 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/hd.png\" alt=\"\" width=\"711\" height=\"397\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/hd.png 711w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/hd-300x168.png 300w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/hd-696x389.png 696w\" data-sizes=\"(max-width: 711px) 100vw, 711px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 711px; --smush-placeholder-aspect-ratio: 711\/397;\" \/><\/p>\n<p><b>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f<\/b>\u00a0\u0917\u0923\u093f\u0924\u00a0\u0915\u0940 \u0935\u0939 \u0936\u093e\u0916\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902\u00a0\u0924\u094d\u0930\u093f\u092d\u0941\u091c\u00a0\u0914\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0938\u0947 \u092c\u0928\u0928\u0947 \u0935\u093e\u0932\u0947\u00a0\u092c\u0939\u0941\u092d\u0941\u091c\u094b\u0902\u00a0\u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 \u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u0905\u0917\u0930 \u0939\u092e \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u093e \u092e\u0924\u0932\u092c \u0938\u092e\u091d\u0947 \u0924\u094b \u0907\u0938 \u0936\u092c\u094d\u0926 \u0915\u093e \u0936\u093e\u092c\u094d\u0926\u093f\u0915 \u0905\u0930\u094d\u0925 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093e \u092e\u093e\u092a\u0928\u0964 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948\u00a0\u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u00a0\u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928\u0964<\/p>\n<p>\u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0914\u0930 \u092c\u0939\u0941\u092d\u0941\u091c\u094b\u0902 \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0914\u0930 \u0926\u094b \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u0947 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u0906\u0927\u093e\u0930 \u092f\u0939 \u0939\u0948 \u0915\u093f \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0940 \u0915\u093f\u0928\u094d\u0939\u0940 \u0926\u094b \u092d\u0941\u091c\u093e\u0913\u0902 (\u0906\u0927\u093e\u0930, \u0932\u092e\u094d\u092c \u0935 \u0915\u0930\u094d\u0923) \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0909\u0938 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0915\u094b\u0923\u094b\u0902 \u0915\u0947 \u092e\u093e\u0928 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f\u092f \u092b\u0932\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 ? (trignometric functions)<\/h2>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-70739 lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/fln-300x287.png\" alt=\"\" width=\"300\" height=\"287\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/287;\" \/><\/p>\n<p>\u0917\u0923\u093f\u0924\u00a0\u092e\u0947\u0902\u00a0<b>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u092b\u0932\u0928<\/b>\u00a0\u092f\u093e &#8216;\u0935\u0943\u0924\u094d\u0924\u0940\u092f \u092b\u0932\u0928&#8217; \u0915\u094b\u0923\u094b\u0902 \u0915\u0947\u00a0\u092b\u0932\u0928\u00a0\u0939\u0948\u0902\u0964 \u092f\u0947\u00a0\u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902\u00a0\u0915\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u092e\u0947\u0902 \u0924\u0925\u093e \u0906\u0935\u0930\u094d\u0924\u0940 \u0938\u0902\u0918\u091f\u0928\u093e\u0913\u0902 (periodic phenomena) \u0915\u0947\u00a0\u092e\u0949\u0921\u0932\u0928\u00a0\u090f\u0935\u0902 \u0905\u0928\u094d\u092f \u0905\u0928\u0947\u0915\u093e\u0928\u0947\u0915 \u091c\u0917\u0939 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>\u091c\u094d\u092f\u093e (sine), \u0915\u094b\u091c\u094d\u092f\u093e (\u0915\u094b\u091c) (cosine) \u0924\u0925\u093e \u0938\u094d\u092a\u0930\u094d\u0936\u091c\u094d\u092f\u093e (\u0938\u094d\u092a\u0930) (tangent) \u0938\u092c\u0938\u0947 \u092e\u0939\u0924\u094d\u0935 \u0915\u0947 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u0940\u092f \u092b\u0932\u0928 \u0939\u0948\u0902\u0964 \u0908\u0915\u093e\u0908 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u092e\u093e\u0928\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u092f\u0947 \u092b\u0932\u0928 \u0938\u093e\u092e\u0928\u0947 \u0915\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0939\u0948\u0902\u0964 \u0907\u0928 \u0924\u0940\u0928\u094b\u0902 \u092b\u0932\u0928\u094b\u0902 \u0915\u0947 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u092b\u0932\u0928\u094b\u0902 \u0915\u094b \u0915\u094d\u0930\u092e\u0936\u0903 \u0935\u094d\u092f\u0941\u091c\u094d\u092f\u093e (\u0935\u094d\u092f\u0941\u091c) (cosecant), \u0935\u094d\u092f\u0941\u0915\u094b\u091c\u094d\u092f\u093e (\u0935\u094d\u092f\u0941\u0915) (secant) \u0924\u0925\u093e \u0935\u094d\u092f\u0941\u0938\u094d\u092a\u0930\u094d\u0936\u091c\u094d\u092f\u093e (\u0935\u094d\u092f\u0941\u0938) (cotangent) \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<h2>\u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f\u092f \u092b\u0932\u0928 \u0915\u0947 \u0938\u0942\u0924\u094d\u0930<\/h2>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70641 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigono.jpg\" alt=\"\" width=\"796\" height=\"459\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigono.jpg 796w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigono-300x173.jpg 300w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigono-768x443.jpg 768w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigono-696x401.jpg 696w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigono-728x420.jpg 728w\" data-sizes=\"(max-width: 796px) 100vw, 796px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 796px; --smush-placeholder-aspect-ratio: 796\/459;\" \/><\/p>\n<h2>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u0915\u0947 \u092e\u094c\u0932\u093f\u0915 \u0938\u0942\u0924\u094d\u0930 (important formulas of trigonometry)<\/h2>\n<ol>\n<li><strong>sin<sup>2<\/sup>\u03b1 + cos<sup>2<\/sup>\u03b1 = 1<\/strong><\/li>\n<li><strong>tan\u00a0\u03b1 . cot tan\u00a0\u03b1 = 1<\/strong><\/li>\n<li><strong>tan\u00a0\u03b1 = sin\u00a0\u03b1 \/ cos\u00a0\u03b1 = 1 \/ cot tan\u00a0\u03b1<\/strong><\/li>\n<li><strong>cot tan\u00a0\u03b1 = cos\u00a0\u03b1 \/ sin\u00a0\u03b1 = 1 \/ tan\u00a0\u03b1<\/strong><\/li>\n<li><strong>1 + tan<sup>2<\/sup>a = 1 \/ cos<sup>2<\/sup>a = sec<sup>2<\/sup>a<\/strong><\/li>\n<li><strong>1 + cot tan<sup>2<\/sup>a = 1 \/ sin<sup>2<\/sup>a = cos sec<sup>2<\/sup>a<\/strong><\/li>\n<\/ol>\n<h2>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u0938\u093e\u0930\u0923\u0940<\/h2>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70644 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigno.png\" alt=\"\" width=\"628\" height=\"377\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigno.png 628w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigno-300x180.png 300w\" data-sizes=\"(max-width: 628px) 100vw, 628px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 628px; --smush-placeholder-aspect-ratio: 628\/377;\" \/><\/p>\n<h2>\u0935\u0943\u0924\u094d\u0924 \u0916\u0923\u094d\u0921\u094b\u0902 \u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f\u092f \u092b\u0932\u0928\u094b\u0902 \u0915\u093e \u092e\u093e\u092a<\/h2>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70748 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigonmet.jpg\" alt=\"\" width=\"535\" height=\"303\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigonmet.jpg 535w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigonmet-300x170.jpg 300w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/trigonmet-534x303.jpg 534w\" data-sizes=\"(max-width: 535px) 100vw, 535px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 535px; --smush-placeholder-aspect-ratio: 535\/303;\" \/><\/p>\n<h2>\u0915\u0941\u091b \u0909\u0926\u093e\u0939\u0930\u0923:<\/h2>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70752 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud1.jpg\" alt=\"\" width=\"493\" height=\"312\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud1.jpg 493w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud1-300x190.jpg 300w\" data-sizes=\"(max-width: 493px) 100vw, 493px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 493px; --smush-placeholder-aspect-ratio: 493\/312;\" \/><\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70753 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud2.jpg\" alt=\"\" width=\"502\" height=\"398\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud2.jpg 502w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud2-300x238.jpg 300w\" data-sizes=\"(max-width: 502px) 100vw, 502px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 502px; --smush-placeholder-aspect-ratio: 502\/398;\" \/><\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-70754 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud3.jpg\" alt=\"\" width=\"459\" height=\"307\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud3.jpg 459w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud3-300x201.jpg 300w\" data-sizes=\"(max-width: 459px) 100vw, 459px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 459px; --smush-placeholder-aspect-ratio: 459\/307;\" \/><\/p>\n<h2>\u0924\u094d\u0930\u093f\u0915\u094b\u0902\u092e\u093f\u0924\u093f \u0915\u0947 \u0915\u0941\u091b \u0905\u0928\u094d\u092f \u0938\u0942\u0924\u094d\u0930<\/h2>\n<ul>\n<li><b>cos(X+Y) = cosXcoxY \u2013 sinXsinY<\/b><\/li>\n<li><b>cos(X-Y) = cosXcoxY + sinXsinY<\/b><\/li>\n<li><b>sin(X+Y) = sinXcoxY + cosXsin<\/b><\/li>\n<li><b>sin(X-Y) = sinXcoxY \u2013 cosXsinY<\/b><\/li>\n<li><b>tan(X+Y) = [tanX+tanY]\/ [1\u2013 tanXtanY]<\/b><\/li>\n<li><b>tan(X-Y) = [tanX-tanY]\/ [1+ tanXtanY]<\/b><\/li>\n<li><b>cot(X+Y) = [cotX+cotY-1]\/ [cotX+cotY]<\/b><\/li>\n<li><b>cot(X-Y) = [cotX+cotY+1]\/ [cotX-cotY]<\/b><\/li>\n<li><b>cosX + cosY = 2cos [(X+Y) \/ 2] cos[(X-Y)\/2]<\/b><\/li>\n<li><b>sinX + sinY = 2sin [(X+Y) \/ 2] cos[(X-Y)\/2]<\/b><\/li>\n<li><b>cosX &#8211; cosY = &#8211; 2sin [(X+Y) \/ 2] sin[(X-Y)\/2]<\/b><\/li>\n<li><b>sinX + sinY = 2cos [(X+Y) \/ 2] sin[(X-Y)\/2]<\/b><\/li>\n<li><b>cosXcosY = (1\/2) [cos (x-Y) + cos (X+Y)]<\/b><\/li>\n<li><b>sinXcoxY = (1\/2) [sin (x+Y) + sin (X-Y)]<\/b><\/li>\n<li><b>cosXsinY = (1\/2) [sin (x+Y) + sin (X-Y)]<\/b><\/li>\n<li><b>sinXsinY = (1\/2) [cos (x-Y) + cos (X+Y)]<\/b><\/li>\n<li><b>sin<sup>2<\/sup>X \u2013 sin<sup>2<\/sup>Y = sin (X+Y) sin (X-Y)<\/b><\/li>\n<li><b>cos<sup>2<\/sup>X \u2013 cos<sup>2<\/sup>Y = &#8211; sin (X+Y) sin (X-Y)<\/b><\/li>\n<li><b>cos<sup>2<\/sup>X \u2013 sin<sup>2<\/sup>Y = cos (X+Y) cos (X-Y)<\/b><\/li>\n<li><b>sin (2X) = 2 sin X cos X<\/b><\/li>\n<li><b>cos (2X) = 1 \u2013 2sin<sup>2<\/sup>X= 2cos<sup>2<\/sup>X \u2013 1<\/b><\/li>\n<li><b>tan(2X) = 2tanX\/[1-tan<sup>2<\/sup>X]<\/b><\/li>\n<li><b>inq= con(90<sup>0<\/sup>-\u03a6)<\/b><\/li>\n<li><b>Cosq= sin(90<sup>0<\/sup>-\u03a6)<\/b><\/li>\n<li><b>tanq= cot(90<sup>0<\/sup>-\u03a6)<\/b><\/li>\n<li><b>cotq= tan(90<sup>0<\/sup>-\u03a6)<\/b><\/li>\n<li><b>secq= cosec(90<sup>0<\/sup>-\u03a6)<\/b><\/li>\n<li><b>cosecq=sec(90<sup>0<\/sup>-\u03a6)<\/b><\/li>\n<\/ul>\n<h2>\u0915\u0941\u091b \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 tricks :<\/h2>\n<p><img decoding=\"async\" class=\"wp-image-70764 size-full aligncenter lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud55.jpg\" alt=\"\" width=\"356\" height=\"381\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud55.jpg 356w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud55-280x300.jpg 280w\" data-sizes=\"(max-width: 356px) 100vw, 356px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 356px; --smush-placeholder-aspect-ratio: 356\/381;\" \/> <img decoding=\"async\" class=\"wp-image-70765 size-full aligncenter lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud11.jpg\" alt=\"\" width=\"448\" height=\"325\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud11.jpg 448w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud11-300x218.jpg 300w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud11-324x235.jpg 324w\" data-sizes=\"(max-width: 448px) 100vw, 448px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 448px; --smush-placeholder-aspect-ratio: 448\/325;\" \/> <img decoding=\"async\" class=\"wp-image-70766 size-full aligncenter lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud22.jpg\" alt=\"\" width=\"452\" height=\"496\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud22.jpg 452w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud22-273x300.jpg 273w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud22-383x420.jpg 383w\" data-sizes=\"(max-width: 452px) 100vw, 452px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 452px; --smush-placeholder-aspect-ratio: 452\/496;\" \/> <img decoding=\"async\" class=\"alignnone wp-image-70767 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud33.jpg\" alt=\"\" width=\"657\" height=\"444\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud33.jpg 657w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud33-300x203.jpg 300w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/12\/ud33-621x420.jpg 621w\" data-sizes=\"(max-width: 657px) 100vw, 657px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 657px; --smush-placeholder-aspect-ratio: 657\/444;\" \/><\/p>\n<h2>\u092f\u093e\u0926 \u0930\u0916\u0928\u0947 \u092f\u094b\u0917\u094d\u092f \u0915\u0941\u091b \u095b\u0930\u0942\u0930\u0940 \u092c\u093e\u0924\u0947\u0902 :<\/h2>\n<ul style=\"font-style: inherit; font-weight: 400;\">\n<li style=\"font-style: inherit; font-weight: inherit;\"><b><strong style=\"font-style: inherit;\">\u00a0tan1. tan2. \u2026\u2026\u2026 tan89 = 1<\/strong><\/b><\/li>\n<li style=\"font-style: inherit; font-weight: inherit;\"><b><strong style=\"font-style: inherit;\">cot1. cot2 \u2026\u2026. Cot89<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u00a0= 1<\/strong><\/b><\/li>\n<li style=\"font-style: inherit; font-weight: inherit;\"><b><strong style=\"font-style: inherit;\">cos1<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>.cos2<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u2026\u2026 cos90<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u00a0= 0<\/strong><\/b><\/li>\n<li style=\"font-style: inherit; font-weight: inherit;\"><b><strong style=\"font-style: inherit;\">cos1<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>.cos2<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u2026\u2026 to (greater than cos90<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>) = 0<\/strong><\/b><\/li>\n<li style=\"font-style: inherit; font-weight: inherit;\"><b><strong style=\"font-style: inherit;\">sin1<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>.sin2<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>.sin3<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u00a0\u2026\u2026\u2026 sin180<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u00a0= 0<\/strong><\/b><\/li>\n<li style=\"font-style: inherit; font-weight: inherit;\"><b><strong style=\"font-style: inherit;\">sin1<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>. sin2<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup><sub style=\"font-style: inherit; font-weight: inherit;\">\u00a0<\/sub>sin3<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>\u00a0\u2026.. to (greater than sin180<sup style=\"font-style: inherit; font-weight: inherit;\">0<\/sup>) = 0<\/strong><\/b><\/li>\n<\/ul>\n<p><em>\u0907\u0938 \u0932\u0947\u0916 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u092f\u0926\u093f \u0906\u092a\u0915\u093e \u0915\u094b\u0908 \u092d\u0940 \u0938\u0935\u093e\u0932 \u092f\u093e \u0938\u0941\u091d\u093e\u0935 \u0939\u0948, \u0924\u094b \u0906\u092a \u0909\u0938\u0947 \u0928\u0940\u091a\u0947 \u0915\u092e\u0947\u0902\u091f \u092e\u0947\u0902 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/em><\/p>\n<p><strong>\u0917\u0923\u093f\u0924 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0905\u0928\u094d\u092f \u0932\u0947\u0916:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%B6%E0%A4%82%E0%A4%95%E0%A5%81-%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8-69273\/\">\u0936\u0902\u0915\u0941 \u0915\u093e \u0906\u092f\u0924\u0928<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%AC%E0%A5%80%E0%A4%9C%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF-%E0%A4%B8%E0%A4%B0%E0%A5%8D%E0%A4%B5%E0%A4%B8%E0%A4%AE%E0%A4%BF%E0%A4%95%E0%A4%BE%E0%A4%8F%E0%A4%81-65204\/\" target=\"_blank\" rel=\"noopener\">\u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0930\u094d\u0935\u0938\u092e\u093f\u0915\u093e\u090f\u0901 \u0915\u094d\u092f\u093e \u0939\u0948\u0902?<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%97-%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2-65968\/\" target=\"_blank\" rel=\"noopener\">\u0935\u0930\u094d\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%8A%E0%A4%82%E0%A4%9A%E0%A4%BE%E0%A4%88-%E0%A4%8F%E0%A4%B5%E0%A4%82-%E0%A4%A6%E0%A5%82%E0%A4%B0%E0%A5%80-70594\/\" target=\"_blank\" rel=\"noopener\">\u090a\u0902\u091a\u093e\u0908 \u0914\u0930 \u0926\u0942\u0930\u0940<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%AD%E0%A4%BF%E0%A4%A8%E0%A5%8D%E0%A4%A8-%E0%A4%9C%E0%A5%8B%E0%A5%9C-64009\/\" target=\"_blank\" rel=\"noopener\">\u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u091c\u094b\u095c<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%AD%E0%A4%BF%E0%A4%A8%E0%A5%8D%E0%A4%A8-%E0%A4%98%E0%A4%9F%E0%A4%BE%E0%A4%A8%E0%A4%BE-64095\/\" target=\"_blank\" rel=\"noopener\">\u092d\u093f\u0928\u094d\u0928 \u0915\u094b \u0918\u091f\u093e\u0928\u093e<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%A8%E0%A4%BE%E0%A4%B5-%E0%A4%A7%E0%A4%BE%E0%A4%B0%E0%A4%BE-69738\/\" target=\"_blank\" rel=\"noopener\">\u0928\u093e\u0935 \u0914\u0930 \u0927\u093e\u0930\u093e<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%B6%E0%A4%82%E0%A4%95%E0%A5%81-%E0%A4%9B%E0%A4%BF%E0%A4%A8%E0%A5%8D%E0%A4%A8%E0%A4%95-70332\/\" target=\"_blank\" rel=\"noopener\">\u0936\u0902\u0915\u0941 \u0915\u093e \u091b\u093f\u0928\u094d\u0928\u0915<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%AC%E0%A4%B9%E0%A5%81%E0%A4%AA%E0%A4%A6-%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF-%E0%A4%97%E0%A5%81%E0%A4%A3%E0%A4%A8%E0%A4%96%E0%A4%82%E0%A4%A1-65024\/\" target=\"_blank\" rel=\"noopener\">\u092c\u0939\u0941\u092a\u0926 \u0915\u0947 \u0936\u0942\u0928\u094d\u092f \u0914\u0930 \u0917\u0941\u0923\u0928\u0916\u0902\u0921 \u0915\u0948\u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u0924\u0947 \u0939\u0948\u0902?<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8-%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A5%87%E0%A4%AF-65719\/\" target=\"_blank\" rel=\"noopener\">\u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f<\/a><\/li>\n<li><a href=\"https:\/\/hindi.theindianwire.com\/%E0%A4%B6%E0%A5%87%E0%A4%B7%E0%A4%AB%E0%A4%B2-%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A5%87%E0%A4%AF-65057\/\" target=\"_blank\" rel=\"noopener\">\u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u0915\u094d\u092f\u093e \u0939\u0948 ? \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f\u00a0\u0917\u0923\u093f\u0924\u00a0\u0915\u0940 \u0935\u0939 \u0936\u093e\u0916\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902\u00a0\u0924\u094d\u0930\u093f\u092d\u0941\u091c\u00a0\u0914\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0938\u0947 \u092c\u0928\u0928\u0947 \u0935\u093e\u0932\u0947\u00a0\u092c\u0939\u0941\u092d\u0941\u091c\u094b\u0902\u00a0\u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 \u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u0905\u0917\u0930 \u0939\u092e \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u093e \u092e\u0924\u0932\u092c \u0938\u092e\u091d\u0947 \u0924\u094b \u0907\u0938 \u0936\u092c\u094d\u0926 \u0915\u093e \u0936\u093e\u092c\u094d\u0926\u093f\u0915 \u0905\u0930\u094d\u0925 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093e \u092e\u093e\u092a\u0928\u0964 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u092e\u093f\u0924\u093f \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948\u00a0\u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u00a0\u0915\u093e \u0905\u0927\u094d\u092f\u092f\u0928\u0964 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0914\u0930 \u092c\u0939\u0941\u092d\u0941\u091c\u094b\u0902 \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0914\u0930 \u0926\u094b \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 [&hellip;]<\/p>\n","protected":false},"author":34,"featured_media":70748,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6348],"tags":[],"yst_prominent_words":[],"class_list":["post-70725","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/70725","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/comments?post=70725"}],"version-history":[{"count":0,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/70725\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media\/70748"}],"wp:attachment":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media?parent=70725"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/categories?post=70725"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/tags?post=70725"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/yst_prominent_words?post=70725"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}