1.8.4 Reciprocal and inverse trigonometric functions (A-level only)

55%

a.

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

[2]

b.

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

\tan^2\theta + \sec^2\theta + 5\sec\theta = 2

Give your answers to 1 decimal place.

[5]

55%

a.

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

[2]

b.

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

\tan^2\theta + \sec^2\theta + 5\sec\theta = 2

Give your answers to 1 decimal place.

[5]

1.8.4 Reciprocal and inverse trigonometric functions (A-level only) Questions