CPM Homework Banner
12-37.
  1. Solve each equation for 0º ≤ θ < 360º, or if you prefer, 0 ≤ θ < 2π. You may need your calculator, but remember that your calculator only gives one value. Homework Help ✎

    1. sin(θ) = 0.5

    2. cos(θ) = –0.5

    3. 4tan(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°