If , and , then evaluate…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If 0<β<α<π/40<\beta<\alpha<\pi/4, cos⁡(α+β)=3/5\cos(\alpha+\beta)=3/5 and cos⁡(α−β)=4/5\cos(\alpha-\beta)=4/5, then evaluate sin⁡2α\sin 2\alpha.

Related theory

Browse the problem library