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Home > GC > Chapter 12 > Lesson 12.1.4 > Problem 12-38

12-38.

A right triangle with a hypotenuse of 1, base of X, and height of Y. Angle theta is opposite side, y.Examine the diagram at right.

  1. Explain why and.

    Use the diagram to write ?

  2. According to this diagram, what is ? Explain how you know.

    Use the Pythagorean Theorem and your answer from part (a).

  3. Does this relationship appear true for all angles? Use your calculator to find and . Write down your findings.

    Yes.