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If A = 60° and B = 30°, verify that sin (A − B) = sin A cos B − cos A sin. |
Answer» sin (A – B) = sin A cos B – cos A sin B If A = 60° and B = 30°, then LHS : = sin(60°- 30°) = sin 30° = 1/2 R.H.S. = sin 60° cos 30° – cos 60° sin 30° = (√3/2) × (√3/2) – (1/2) (1/2) = (3/4) – (1/4) = 2/4 = 1/2 L.H.S. = R.H.S. |
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