Answer the following questions in the order given.

PHYSICS · Multi-part · ISC · Mathematics · Physics · Calculus

Problem

Answer the following questions in the order given. (i) Express 75∘75^{\circ} as a sum or difference of two angles whose trigonometric ratios are known from the standard trigonometric table. (ii) Using your result from part (i), determine the exact value of sin⁡75∘\sin 75^{\circ}. (iii) Hence, find the exact value of cos⁡15∘\cos 15^{\circ}.

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