1.7 Trigonometry

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

3\tan^2\theta + 5\sec\theta + 1 = 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 $sec⁡2θ=1+tan⁡2θ\sec^2\theta = 1 + \tan^2\theta$

[2]

b.

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

3\tan^2\theta + 5\sec\theta + 1 = 0

Give your answers to 1 decimal place.

[5]

1.7 Trigonometry Questions