CPM Homework Help : PC3 Problem 5-22

Solve for $x$ on the indicated domain. Begin by solving for the function. Recall that if no domain is indicated, the domain is all real numbers. Remember to use a unit circle or graph as a visual reminder.

$2\sin(x)-1=0$
Step (a):
$2\sin(x)=1$

$2+2\cos(x)=0$
Step (b):
$2\cos(x)=-2$

$\sqrt{2}-2\sin(x)=0$
Step (c):
$\sqrt{2}=2\sin(x)$

$\cos(x)+3=0$
Step (d):
$\cos(x)=-3$