Answer the following.

CHEMISTRY · Multi-part · ISC · Chemistry · Electrochemistry · Electrochemical cells

Problem

Answer the following. (1) Prove that cos⁡θ+sin⁡θtan⁡θ≡sec⁡θ\cos \theta + \sin \theta \tan \theta \equiv \sec \theta. (2) Hence find the exact roots of the equation cos⁡θ+sin⁡θtan⁡θ=4cos⁡θ\cos \theta + \sin \theta \tan \theta = 4 \cos \theta, for 0≤θ≤2π0 \leq \theta \leq 2\pi.

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