### Home > PC > Chapter 6 > Lesson 6.2.2 > Problem6-89

6-89.

Solve for $x$ on the indicated domain.

1. $\cos x = 0$$[0, 2π]$

2. $2 \sin x + \sqrt { 2 } = 0$$[0, 2π]$

$\text{sin }x=-\frac{\sqrt{2}}{2}$

3. $\cos x(2 \sin x + \sqrt { 2 }) = 0$, $[0, 2π]$

Use the Zero Product Property. Then combine parts (a) and (b).

4. $\cos x(2 \sin x + \sqrt { 2 }) = 0$

Solve for all solutions.
Add a $2πn$ to each solution in $[0,2π]$ where $n$ is any integer.