Maths & numbers

Sine and cosine of an angle sum calculator

Evaluate an angle sum by combining the two component angles.

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Behind the numbers

How this calculation works

Evaluate an angle sum by combining the two component angles.

THE FORMULAsin(A+B)=sin A cos B+cos A sin B, cos(A+B)=cos A cos B−sin A sin B

A worked example

30°+60° has sine 1 and cosine 0.

Good to know

Inputs are degrees.

Read the result

Evaluate an angle sum by combining the two component angles.

The primary result is labeled “Sine of sum”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Inputs are degrees.

For a related exercise, try the quadratic equation solver.

A few questions, answered

How can I check the default inputs by hand?

30°+60° has sine 1 and cosine 0.

Which rule does this calculator apply?

sin(A+B)=sin A cos B+cos A sin B, cos(A+B)=cos A cos B−sin A sin B

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