Find the exact value of the expression .

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Find the exact value of the expression t=sin⁡40∘sin⁡80∘+sin⁡80∘sin⁡20∘−sin⁡20∘sin⁡40∘t=\frac{\sin40^\circ}{\sin80^\circ}+\frac{\sin80^\circ}{\sin20^\circ}-\frac{\sin20^\circ}{\sin40^\circ}.

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