Trigonometric Ratios of Compound Angles for sin and cos | Hindi | Maths

Trigonometry is all about angles and their measurement. When discussing the various trigonometric functions, we keep in mind the formula of compound angles to give accurate results. The chapter below discusses the same idea of measurement in Trigonometry.
Compound Angles
A compound angle is an algebraic sum of two or more angles. We use trigonometric identities to connote compound angles through trigonometric functions. The sum and difference of functions in trigonometry can be solved using the compound angle formula or the addition formula. Here, we shall deal with functions like (A+B) and (A-B). The formula for trigonometric ratios of compound angles are as follows:

sin (A + B) = sin A cos B + cos A sin B
sin (A – B) = sinA cosB – cosA sinB
cos (A + B) = cosA cosB – sinA cosB
cos (A – B) = cosA cosB + sinA cosB
tan (A + B) = [tanA + tanB] / [1 – tanA tanB]
tan (A – B) = [tan A – tan B] / [1 + tan A tan B]
sin(A + B) sin(A – B) = sin2 A – sin2 B = cos2 B – cos2 A.
cos(A + B) cos(A – B) = cos2 A – sin2 A – sin2 B = cos2 B – sin2 A.

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