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Home > PC3 > Chapter 2 > Lesson 2.2.5 > Problem 2-118



  1. Draw a right triangle and place values on the sides so that .

    Right triangle labeled as follows: horizontal leg, 3, hypotenuse, 5, angle opposite vertical leg, theta.

  2. Draw a unit circle diagram to clearly show the two possible positions for .

    Unit Circle with a right triangle in first quadrant, & a right triangle in fourth quadrant, such that they share their horizontal leg, which is on the positive x axis, labeled, 3, the vertical legs align, and each hypotenuse is labeled 5.

  3. Use the Pythagorean Identity or a right triangle to solve for all possible values for .

    It must be a 3-4-5 triangle because of the Pythagorean Theorem. Determine the two sine values.

  4. Solve for all possible values for .