What is the Formula of Sin C – Sin D ?

Solution :

The formula of sin C – sin D is 2 sin(\(C – D\over 2\)) cos(\(C + D\over 2\)).

Example : Express sin \(6\theta\) – sin \(2\theta\) as a product.

Solution : We have,

sin \(6\theta\) – sin \(2\theta\) = 2 sin(\(6\theta – 2\theta\over 2\)) cos(\(6\theta + 2\theta\over 2\))

= 2 sin \(2\theta\) cos \(4\theta\)


Similar Formulas

What is the Formula of Sin C + Sin D ?

What is the Formula of Cos C + Cos D ?

What is the Formula of Cos C – Cos D ?

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