Trigonometry Identity Solve - Cosine Compound-Angle Identity - Direct

Question

Solve the trigonometric equation for x in the given domain.

$$\begin{gathered} \cos(x)\cos(\frac{\pi}{4}) - \sin(x)\sin(\frac{\pi}{4}) = \frac{1}{2} \ 	ext{for } 0 \le x < 2\pi \end{gathered}$$

Accepted Answer

$$x = \frac{\pi}{12} 	ext{ or } x = \frac{17\pi}{12}$$

Answer

$$x = \frac{5\pi}{12} 	ext{ or } x = \frac{13\pi}{12}$$

Answer

$$x = \frac{7\pi}{12} 	ext{ or } x = \frac{23\pi}{12}$$

Answer

$$x = \frac{\pi}{12}$$