Evaluate the exact value of .

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Evaluate the exact value of sin⁡75∘+sin⁡15∘\sin75^{\circ}+\sin15^{\circ}. (a) Express sin⁡75∘+sin⁡15∘\sin75^{\circ}+\sin15^{\circ} as a product of two trigonometric functions. (b) Hence find its exact value in simplest radical form.

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