### Home > CCA2 > Chapter 12 > Lesson 12.1.3 > Problem 12-43

12-43.

Solve each equation for 0° ≤

*θ*< 360°, or if you prefer, 0 ≤*θ*< 2*π*. You may need your calculator, but remember that it only gives*one*answer. Homework Help ✎sin(

*θ*) = 0.5cos(

*θ*) = −0.54 tan (

*θ*) − 4 = 03 sin

^{2}(*θ*) = 1

Use inverse sine on your calculator to find one solution.

sin^{−1}(0.5) = *θ*

It should tell you the answer is 30°.

Draw a unit circle to find the other angle that makes sin(*θ*) = 0.5. The sine function is positive in quadrants I and II, so draw a reference angle of 30° in each quadrant.

Follow the steps in part (a).

First solve the equation for tan(*θ*).

tan(*θ*) = 1.

Follow the steps in part (a).

45° and 225°

First solve the equation for sin(*θ*).

Follow the steps in part (a). There are 4 solutions.