(a) Rewrite as the cosine of a single angle and simplify the result to an exact value…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

(a) Rewrite sin⁡215∘\sin^{2}15^{\circ} as the cosine of a single angle and simplify the result to an exact value in surd form. (b) Without using a calculator or trigonometric tables, determine the exact value of sin⁡215∘+sin⁡275∘\sin^{2}15^{\circ}+\sin^{2}75^{\circ}.

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