Trigonometry Identity Solve - Sine Double-Angle Identity - Direct

Question

Solve the trigonometric equation for x in the given domain.

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

Accepted Answer

$$x = \frac{\pi}{12} 	ext{ or } x = \frac{5\pi}{12} 	ext{ or } x = \frac{13\pi}{12} 	ext{ or } x = \frac{17\pi}{12}$$

Answer

$$x = \frac{7\pi}{12} 	ext{ or } x = \frac{11\pi}{12} 	ext{ or } x = \frac{19\pi}{12} 	ext{ or } x = \frac{23\pi}{12}$$

Answer

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

Answer

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

Practice: Trigonometry Identity Solve - Sine Double-Angle Identity - Direct