यदि x = sec theta + tan theta , तो x + frac{1 | vedclass

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Question

(b) दिया है $x = \sec 	heta + 	an 	heta $

$ \Rightarrow \,x + \frac{1}{x} = \sec 	heta + 	an 	heta + \frac{1}{{\sec 	heta + 	an 	heta }}$

Vedclass · Accepted Answer

$2\sec 	heta $

Vedclass · Answer

(b) दिया है $x = \sec 	heta + 	an 	heta $

$ \Rightarrow \,x + \frac{1}{x} = \sec 	heta + 	an 	heta + \frac{1}{{\sec 	heta + 	an 	heta }}$

$ = \sec 	heta + 	an 	heta + \sec 	heta - 	an 	heta = 2\sec 	heta $

यदि $x = \sec \theta + \tan \theta ,$ तो $x + \frac{1}{x} = $

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$\cot ^{2} \frac{\pi}{6}+\operatorname{cosec} \frac{5 \pi}{6}+3 \tan ^{2} \frac{\pi}{6}=6$

यदि $x + \frac{1}{x} = 2\cos \alpha $, तो ${x^n} + \frac{1}{{{x^n}}} = $