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Home > PC > Chapter 4 > Lesson 4.1.2 > Problem 4-25


Given: .

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

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

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

  4. Find all possible values for .

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

Right triangle is placed in unit circle with top vertex in first quadrant, shaded blue, a reflection of the triangle across the x axis, places a second right triangle with bottom vertex in fourth quadrant, shaded purple.

It must be a triangle because of the Pythagorean Theorem. Determine the two sine values.