Angle Addition Calculator

Enter two angles, alpha and beta, into the calculate to determine the values of all 6 trigonometric addition formulas.

Angle Addition Formulas

The following 6 equations are the trigonometric angle addition formulas.

sin(alpha+beta)=sinalphacosbeta+sinbetacosalpha
sin(alpha-beta)=sinalphacosbeta-sinbetacosalpha
cos(alpha+beta)=cosalphacosbeta-sinalphasinbeta
cos(alpha-beta)=cosalphacosbeta+sinalphasinbeta
tan(alpha+beta)=(tanalpha+tanbeta)/(1-tanalphatanbeta)
tan(alpha-beta)=(tanalpha-tanbeta)/(1+tanalphatanbeta).

Angle Addition Definition

An angle addition is a set of trigonometric formulas for calculating the trig values of the sum of two different angle.

angle addition calculator
angle addition formula