Answer the following.

CHEMISTRY · Multi-part · ISC · Chemistry · Redox Reactions · Solutions

Problem

Answer the following. (1) Prove that csc⁡θcsc⁡θ−sin⁡θ≡sec⁡2θ\frac{\csc \theta}{\csc \theta - \sin \theta} \equiv \sec^2 \theta. (2) Hence solve, for 0<θ<2π0 < \theta < 2\pi, csc⁡θcsc⁡θ−sin⁡θ=2tan⁡θ\frac{\csc \theta}{\csc \theta - \sin \theta} = 2 \tan \theta.

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