(a) Convert into product…

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

(a) Convert

\sin 75^{\circ}+\sin 15^{\circ}

into product form. (a) Convert

\sin 75^{\circ}+\sin 15^{\circ}

into product form. (b) Hence obtain the exact numerical value of

\sin 75^{\circ}+\sin 15^{\circ}

. (c) Using a similar method, determine the exact value of

\cos 75^{\circ}\,\cos 15^{\circ}

.

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