Trigonometry Identity Solve - Compound-Angle Identity - After Algebra

Question

Solve the trigonometric equation for x in the given domain.

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

Accepted Answer

$$x = \pi 	ext{ or } x = \frac{3\pi}{2}$$

Answer

$$x = 0 	ext{ or } x = \frac{\pi}{2}$$

Answer

$$x = \pi$$

Answer

$$x = \frac{\pi}{2} 	ext{ or } x = \pi$$