Mathematics

Mathematics

Problem

Prove the following identity for every acute angle θ\theta: a. (i) Rewrite each trigonometric function in sin⁡(90∘−θ)sec⁡θ+cos⁡(90∘−θ)csc⁡θ\sin(90^{\circ}-\theta)\sec\theta + \cos(90^{\circ}-\theta)\csc\theta solely in terms of sin⁡θ\sin\theta and cos⁡θ\cos\theta. b. (ii) Simplify the resulting expression step by step to show that it equals 22.

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