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12-37.

Solve each equation for , or if you prefer, . You may need your calculator, but remember that your calculator only gives one value.

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

    It should tell you the answer is .

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

    Unit Circle, with radius, drawn to a point on the circle, in first quadrant, labeled, 30 degrees, & a radius, drawn to a point on the circle, in second quadrant, labeled, 150 degrees.

  2. Follow the steps in part (a).

    Unit Circle, with radius, drawn to a point on the circle, in second quadrant, labeled, 120 degrees, & a radius, drawn to a point on the circle, in third quadrant, labeled, 240 degrees.

  3. First solve the equation for .
    .

    Follow the steps in part (a).

    and