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)
Help us improve!
How would you rate the Sum and Difference Angle Calculator?
الآلات الحاسبة ذات الصلة
Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun