Answer the following.

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Answer the following. (1) Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta+\sin^2\theta=1 to prove that cosec2θ=1+cot⁡2θ\text{cosec}^2\theta=1+\cot^2\theta. (2) Solve, for 0≤θ≤2π0\leq\theta\leq2\pi, the equation cosec2θ+cot⁡2θ=3\text{cosec}^2\theta+\cot^2\theta=3. Give your answers in terms of π\pi.

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