Trigonometry Identity Solve - Select and Apply Two Identities

Question

Solve the trigonometric equation for x in the given domain.

$$\begin{gathered} \frac{1}{\sin(x)\cos(\frac{\pi}{6}) + \cos(x)\sin(\frac{\pi}{6})} = 1 \ 	ext{for } 0 \le x < 2\pi \end{gathered}$$

Accepted Answer

$$x = \frac{\pi}{3}$$

Answer

$$x = \frac{\pi}{3} 	ext{ or } x = \frac{5\pi}{6}$$

Answer

$$x = \frac{4\pi}{3}$$

Answer

$$x = \frac{5\pi}{3}$$

Practice: Trigonometry Identity Solve - Select and Apply Two Identities