Answer the following questions regarding the trigonometric ratios of special angles.

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Answer the following questions regarding the trigonometric ratios of special angles. (a) Write the numerical values of sin⁡30∘\sin 30^\circ, cos⁡30∘\cos 30^\circ, sin⁡45∘\sin 45^\circ, cos⁡45∘\cos 45^\circ, sin⁡60∘\sin 60^\circ and cos⁡60∘\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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