If and where and are acute angles

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If sin⁡A=35\sin A = \dfrac{3}{5} and cos⁡B=1213\cos B = \dfrac{12}{13} where AA and BB are acute angles, determine sin⁡(A−B)\sin(A - B). (a) 5665\dfrac{56}{65} (b) 1665\dfrac{16}{65} (c) 1465\dfrac{14}{65} (d) 3665\dfrac{36}{65}

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