What is Sin(a-b)?
The sine of the difference of two angles a and b, denoted as sin (a − b). It is a compound angle formula where we want to denote the sine value of the difference between two angles. Sin (a-b) is also called the difference formula. Sin a minus b is equal to the product of sin a and cos b minus the product of cos a and sin b.
Formula for Sin (a-b)
This formula provides us with the relationship between the sine value of two angles and their cosine values.
sin (a-b) = sin(a) . cos(b) – cos(a) . sin(b)
This formula allows us to express the sine of the difference of two angles in terms of the sines and cosines of the individual angles.
Sin A minus B
Sin A Minus B or sin (A – B) is one of the many common compound identities. It is used in to find the sin of difference of any two angles as difference of product of sine and cosine of individual angles. In this article, we will discuss this formula in detail, including proof and solved examples.
Table of Content
- What is Sin(a-b)?
- Proof of Sin(a – b) Formula
- How to Apply Sin(a – b)?
- Some Other Similar Identities
- FAQs