Sum and Difference Angle Calculator
Calculate sin(A±B), cos(A±B), tan(A±B) using sum and difference angle formulas.
Input Angles
sin(A) = 0.707107
cos(A) = 0.707107
sin(B) = 0.500000
cos(B) = 0.866025
Sum (A + B = 75.00°)
sin(A+B) = 0.96592583
cos(A+B) = 0.25881905
tan(A+B) = 3.73205081
Difference (A - B = 15.00°)
sin(A-B) = 0.25881905
cos(A-B) = 0.96592583
tan(A-B) = 0.26794919
Product-to-Sum Results
sin(A)·sin(B) = 0.35355339
cos(A)·cos(B) = 0.61237244
sin(A)·cos(B) = 0.61237244
Sum and Difference Formulas
Sum Formulas
sin(A+B) = sinA·cosB + cosA·sinB
cos(A+B) = cosA·cosB - sinA·sinB
tan(A+B) = (tanA+tanB)/(1-tanA·tanB)
Difference Formulas
sin(A-B) = sinA·cosB - cosA·sinB
cos(A-B) = cosA·cosB + sinA·sinB
tan(A-B) = (tanA-tanB)/(1+tanA·tanB)