Simplify the expression for an acute angle : S= 1+ (90^ - x) x (90^ - x) x

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Simplify the expression for an acute angle xx: S=1+tan⁡(90∘−x)tan⁡xsec⁡(90∘−x)csc⁡x.S=\dfrac{1+\tan(90^\circ - x)\tan x}{\sec(90^\circ - x)\csc x}. Which of the following is the simplified form of SS? (a) 2cos⁡2x2\cos^2 x (b) 2sin⁡2x2\sin^2 x (c) tan⁡2x\tan^2 x (d) 2sin⁡xcos⁡x2\sin x\cos x

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