3.4.2 Trigonometry (A-level only)

a.

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]

b.

Solve, for $\leq \theta \leq 2\pi$ , the equation,

\text{cosec}^2\theta + \cot^2\theta = 7

Give your answers in terms of $π\pi$ .

[5]

a.

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]

b.

Solve, for $\leq \theta \leq 2\pi$ , the equation,

\text{cosec}^2\theta + \cot^2\theta = 7

Give your answers in terms of $π\pi$ .

[5]

3.4.2 Trigonometry (A-level only) Questions