Without performing full expansion

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

Problem

Without performing full expansion, explain why the expression sin⁡(45∘+θ)+sin⁡(45∘−θ)\sin(45^{\circ}+\theta)+\sin(45^{\circ}-\theta) is an even function of θ\theta.

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