For an acute angle

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

Problem

For an acute angle xx, which of the following identities is always true? (a) sec⁡2x+tan⁡2x=1\sec^2 x + \tan^2 x = 1 (b) csc⁡2x−cot⁡2x=1\csc^2 x - \cot^2 x = 1 (c) sin⁡(90∘−x)=cot⁡x\sin(90^\circ - x) = \cot x (d) csc⁡2x+cot⁡2x=1\csc^2 x + \cot^2 x = 1

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