Angle Sum Calculator
Calculate trig values for A plus B
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Angle Sum Formula
sin(A+B)=sinAcosB+cosAsinB
Angle sum identities express trig values of A+B using the trig values of A and B. They are central for exact values and identity proofs.
⚠ Enter A and B in degrees. Tangent may be undefined when cosine of the summed angle is zero.
How Angle Sum Works
The calculator adds the two angles first, then evaluates sine, cosine, and tangent for the combined angle. This matches the standard sum identities.
Sine Sum
sin(A+B)=sinAcosB+cosAsinB.
Cosine Sum
cos(A+B)=cosAcosB-sinAsinB.
Tangent Sum
tan(A+B) can be found from sin/cos.
Exact Values
Useful for decomposing special angles.
💡 Example: For A=30° and B=15°, A+B=45°, so sin=0.707107 and cos=0.707107.
Applications of Angle Sum
Trig Identities Exact Values Proofs Calculus
Frequently Asked Questions
What is an angle sum calculator?▼
It calculates trig values for the sum of two angles, A+B.
What are the angle sum formulas?▼
sin(A+B)=sinAcosB+cosAsinB and cos(A+B)=cosAcosB-sinAsinB.
How do I use this calculator?▼
Enter angles A and B in degrees, then click Calculate.
Does it calculate tangent too?▼
Yes. It reports tangent of the summed angle along with sine and cosine.
Where are angle sum formulas used?▼
They are used in identities, exact values, proofs, graph transformations, and calculus.
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