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Home > A2C > Chapter 13 > Lesson 13.1.3 > Problem 13-46

13-46.

Solve each equation for , or if you prefer, . You may need your calculator, but remember that it only gives one answer. Homework Help ✎

  1. Use inverse sine on your calculator to find one solution.
    sin−1 θ

    It should tell you the answer is .

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

  1. Follow the steps in part (a).

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

    Follow the steps in part (a).

    and

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

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