For an acute angle

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

For an acute angle ϕ\phi, let cot⁡ϕ=k\cot\phi = k where k>0k>0. Express the six trigonometric ratios of ϕ\phi in terms of kk, namely: (i) sin⁡ϕ\sin\phi (ii) cos⁡ϕ\cos\phi (iii) tan⁡ϕ\tan\phi (iv) csc⁡ϕ\csc\phi (v) sec⁡ϕ\sec\phi (vi) cot⁡ϕ\cot\phi.

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