Checkpoint 3 of 3 Covers Lessons 11–15

Checkpoint 3: Equations & Inverse Trig Functions

Test your understanding of solving trig equations and inverse trig functions.

Multiple Choice

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Short Answer

1. Solve $2\sin^2\theta - \sin\theta - 1 = 0$ for $0 \le \theta < 2\pi$. (3 marks)

2. Solve $\sin(2\theta) = \frac{\sqrt{3}}{2}$ for $0 \le \theta < 2\pi$. (3 marks)

3. Find the exact value of $\cos^{-1}(-\frac{1}{2})$. (1 mark)

4. Sketch $y = \tan^{-1}x$, showing asymptotes and key points. (3 marks)