Mathematics

Problem

(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}

. 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}