TRIGONOMETRY STUDIO

Explore • Calculate • Understand

DEGREE MODE

ANGLE IDENTITY CALCULATOR

Turn your angles into beautiful mathematics.

Enter values for A and B and instantly explore six fundamental angle-sum and angle-difference identities.

θ
sin cos tan

INPUT PARAMETERS

Choose your angles

°
°
+
°

CALCULATED RESULTS

Your six identities

06 RESULTS
SIN A + B

sin(A + B)

sin A cos B + cos A sin B

—
SIN A − B

sin(A − B)

sin A cos B − cos A sin B

—
COS A + B

cos(A + B)

cos A cos B − sin A sin B

—
COS A − B

cos(A − B)

cos A cos B + sin A sin B

—
TAN A + B

tan(A + B)

(tan A + tan B) / (1 − tan A tan B)

—
TAN A − B

tan(A − B)

(tan A − tan B) / (1 + tan A tan B)

—

FORMULA LIBRARY

Master the identities

01 — 06
01 sin(A + B)

sin A cos B + cos A sin B

02 sin(A − B)

sin A cos B − cos A sin B

03 cos(A + B)

cos A cos B − sin A sin B

04 cos(A − B)

cos A cos B + sin A sin B

05 tan(A + B)

(tan A + tan B) / (1 − tan A tan B)

06 tan(A − B)

(tan A − tan B) / (1 + tan A tan B)