Trigonometry Identities
Identities that give the relation between different trigonometric ratios are called Trigonometric Identities. These identities relate all trigonometric ratios with each other. There are multiple trigonometric identities including sum to product formulas in trigonometry.
Sum to Product Formulas
The sum to product formulas are trigonometric identities that convert the sum or difference of two trigonometric functions into a product of trigonometric functions. These formulas are particularly useful in simplifying expressions, solving trigonometric equations, and integrating functions.
Sum to Product formulas are important formulas of trigonometry. Four sum-to-product formulas in trigonometry are,
- sin A + sin B = 2 sin [(A+B)/2] × cos [(A-B)/2]
- sin A – sin B = 2 cos[(A+B)/2] × sin[(A-B)/2]
- cos A + cos B = 2 cos[(A+B)/2] × cos[(A-B)/2]
- cos A – cos B = 2 sin[(A+B)/2] × sin[(A-B)/2]
In this article, we will learn about Sum to Product Formulas, Proof of Sum to Product Formulas, Application of Sum to Product Formulas in detail.
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