3.5 Trigonometry (A-level only)

a.

Use the identity $cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1$ to prove that $sec⁡2θ=1+tan⁡2θ\sec^2\theta = 1 + \tan^2\theta$ .

[2]

b.

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

\sec^2\theta + 3\tan^2\theta = 13

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 $sec⁡2θ=1+tan⁡2θ\sec^2\theta = 1 + \tan^2\theta$ .

[2]

b.

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

\sec^2\theta + 3\tan^2\theta = 13

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

[5]

3.5 Trigonometry (A-level only) Questions