Without using tables or a calculator

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

Problem

Without using tables or a calculator, answer the questions below. (i) Prove that tan⁡15∘=2−3\tan 15^{\circ}=2-\sqrt{3}. (ii) Hence find the exact value of cot⁡15∘\cot 15^{\circ}.

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