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Home > INT3 > Chapter 10 > Lesson 10.3.2 > Problem 10-168

10-168.

Without a calculator, what are two solutions to each of the following equations for ?

  1. Draw a unit circle.

    Circle, with vertical & horizontal diameters, line segment, from the center, to a point in first quadrant, about 1 third from the top. Line segment, from the center to point in fourth quadrant, about 1 third from the bottom. A small inner circle sector, from x axis, to first quadrant radius, shaded red, labeled delta = 60 degrees. Same inner circle, with sector from first quadrant radius, going counter clockwise, to fourth quadrant radius, shaded blue, labeled, epsilon = 300 degrees.

    Answers: and

  1. and

  1. Draw and label a unit circle as in part (a). Don't forget that the sine is the -value! Which quadrants will the angles be in?

  1. See part (c).

Compute without a calculator