Trigonometric Functions

a.

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

[2]

b.

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

2\tan^2\theta - \sec\theta = 4

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 $sec⁡2θ−tan⁡2θ=1\sec^2\theta - \tan^2\theta = 1$

[2]

b.

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

2\tan^2\theta - \sec\theta = 4

Give your answers to 1 decimal place.

[5]

Trigonometric Functions Questions