Sum to Product Formulas for Hyperbolic Functions
Sum to product formulas for hyperbolic functions are listed below:
- sinh A + sinh B = 2 sinh[(A+B)/2] cosh[(A-B)/2]
- sinh A – sinh B = 2 cosh[(A+B)/2] sinh[(A-B)/2]
- cosh A + cosh B = 2 cosh[(A+B)/2] cosh[(A-B)/2]
- cosh A – cosh B = 2 sinh[(A+B)/2] sinh[(A-B)/2]
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
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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