1.5 Trigonometry

a.

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

[2]

b.

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

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

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

[5]

a.

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

[2]

b.

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

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

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

[5]

1.5 Trigonometry Questions