basic

Trigonometric Sum-of-Angles Calculator

sin(A+B), cos(A+B), tan(A+B) from two angles in degrees.

Compute sin(A+B), cos(A+B), and tan(A+B) from two angles A and B (in degrees), using the angle-addition identities sin(A+B) = sinA·cosB + cosA·sinB and cos(A+B) = cosA·cosB − sinA·sinB.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

°
°

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

sin(A+B) = sA·cB + cA·sB; cos(A+B) = cA·cB − sA·sB; tan(A+B) = sin/cos.

In depth

Compute sin(A+B), cos(A+B), and tan(A+B) from two angles A and B (in degrees), using the angle-addition identities sin(A+B) = sinA·cosB + cosA·sinB and cos(A+B) = cosA·cosB − sinA·sinB.