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12-59.

Solve each equation below for $x$ if $0\le x<2\pi$ . Note that $\sin^2(x)$ is the notation that is used for $(\sin(x))^2$ .

$4\sin^2(x)=1$
Step 1(a):
Divide both sides by $4$ .
$\sin^2(x)=\frac{1}{4}$
Step 2(a):
Take the square root of both sides to solve for $\sin(x)$ .
$\sin(x)=±\frac{1}{2}$
Step 3(a):
Find the corresponding angles on the unit circle.
Answer (a):

$3\tan^2(x)=1$
Hint (b):
Follow the steps in part (a).

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