3.4 Trigonometry (A-level only)

a.

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

[2]

b.

Solve, for $\leq \theta \leq 360$ , the equation,

2\tan^2\theta - 3\sec\theta = 0

Give your answers to 1 decimal place.

[5]

a.

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

[2]

b.

Solve, for $\leq \theta \leq 360$ , the equation,

2\tan^2\theta - 3\sec\theta = 0

Give your answers to 1 decimal place.

[5]

3.4 Trigonometry (A-level only) Questions