Solve the following

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

Problem

Solve the following, showing all necessary steps and justifications. (i) Find the exact value of sin⁡15∘\sin15^\circ. (ii) Using your answer to part (i), determine cos⁡15∘\cos15^\circ. (iii) Hence evaluate sin⁡75∘+cos⁡75∘\sin75^\circ+\cos75^\circ exactly.

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