Mathematics

Problem

## EXPLORATION 2 Evaluating Trigonometric Functions of

\mathbf{6 0}^{\circ}

1. Find the values of all six trigonometric functions for an angle of

60^{\circ}

. Note that most of the preliminary work has been done in Example 2. 2. Compare the six function values for

60^{\circ}

with the six function values for

30^{\circ}

. What do you notice? 3. We will eventually learn a rule that relates trigonometric functions of any angle with trigonometric functions of the complementary angle. (Recall from geometry that

30^{\circ}

and

60^{\circ}

are complementary because they add up to

90^{\circ}

.) Based on this exploration, can you predict what that rule will be? [Hint: The "co" in cosine, cotangent, and cosecant actually comes from "complement."]

Browse the problem library