Examveda

What is $$\sin \alpha - \sin \beta = ?$$

A. $$2\cos \frac{{\alpha + \beta }}{2}\sin \frac{{\alpha - \beta }}{2}$$

B. $$2\sin \frac{{\alpha + \beta }}{2}\sin \frac{{\alpha - \beta }}{2}$$

C. $$2\cos \frac{{\alpha - \beta }}{2}\sin \frac{{\alpha + \beta }}{2}$$

D. $$2\cos \frac{{\alpha + \beta }}{2}\cos \frac{{\alpha - \beta }}{2}$$

Answer: Option A

Solution (By Examveda Team)

$$\sin \alpha - \sin \beta = 2\cos \frac{{\alpha + \beta }}{2}.\sin \frac{{\alpha - \beta }}{2}$$

This Question Belongs to Arithmetic Ability >> Trigonometry

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