Mathematics

Problem

Answer the following questions regarding the trigonometric ratios of special angles. a. Write the numerical values of

\sin 30^\circ

\cos 30^\circ

\sin 45^\circ

\cos 45^\circ

\sin 60^\circ

and

\cos 60^\circ

. b. From the values written in part (i), identify the acute angle whose sine and cosine are equal. State the measure of this angle and give a brief reason for your answer. c. Using the pairs of angles whose sine value equals the cosine value of the other, explain why these two angles are complementary.

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