(a) Express each of and in terms of , , and . (b) Hence, show that…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

(a) Express each of

\sin75^{\circ}

and

\sin15^{\circ}

in terms of

\sin30^{\circ}

,

\cos30^{\circ}

,

\sin45^{\circ}

and

\cos45^{\circ}

. (b) Hence, show that

\sin75^{\circ}+\sin15^{\circ}=\dfrac{\sqrt6}{2}

.

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