APFIVE Solving a Cosine Equation
Solve the equation $$2*\cos(\theta)=1$$ for $$\theta\in[0,2\pi]$$.
| $$\theta$$ (radians) | $$\cos(\theta)$$ |
|---|---|
| 0 | 1 |
| $$\frac{\pi}{3}$$ | $$\frac{1}{2}$$ |
| $$\frac{\pi}{2}$$ | 0 |
| $$\pi$$ | -1 |
| $$\frac{5\pi}{3}$$ | $$\frac{1}{2}$$ |
| $$2\pi$$ | 1 |
A
$$\theta = \frac{\pi}{3} \text{ or } \frac{2\pi}{3}$$
B
$$\theta = \frac{\pi}{3} \text{ or } \frac{5\pi}{3}$$
C
$$\theta = \frac{\pi}{4} \text{ or } \frac{3\pi}{4}$$
D
$$\theta = \frac{\pi}{6} \text{ or } \frac{5\pi}{6}$$
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