### Home > INT3 > Chapter 12 > Lesson 12.1.3 > Problem 12-37

12-37.

Solve each equation for 0º ≤

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

*θ*) = 0.5cos(

*θ*) = –0.54tan(

*θ*) – 4 = 0

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°