Angle Difference Calculator
Calculate trig values for A minus B
Calculate
Clear
Angle Difference Formula
sin(A-B)=sinAcosB-cosAsinB
Angle difference identities express trig values of A-B using values of A and B. They help simplify expressions and compute exact values.
⚠ Enter A and B in degrees. Tangent may be undefined when cosine of the difference angle is zero.
How Angle Difference Works
The calculator subtracts the second angle from the first, then evaluates sine, cosine, and tangent for that difference.
Sine Difference
sin(A-B)=sinAcosB-cosAsinB.
Cosine Difference
cos(A-B)=cosAcosB+sinAsinB.
Negative Results
A-B may be negative.
Exact Values
Useful for special-angle combinations.
💡 Example: For A=75° and B=30°, A-B=45°, so sin=0.707107 and cos=0.707107.
Applications of Angle Difference
Trig Identities Exact Values Rotations Calculus
Frequently Asked Questions
What is an angle difference calculator?▼
It calculates trig values for the difference of two angles, A-B.
What are the angle difference 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.
Can the result angle be negative?▼
Yes. If B is larger than A, the difference is negative and trig values follow negative-angle rules.
Where are angle difference formulas used?▼
They are used in exact values, identities, proofs, rotations, and calculus.
Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.
© 2026 IP331.com — Free Online Tools. All rights reserved.
About
·
Contact
·
Privacy Policy
·
Cookie Policy
·
Terms of Use
·
Disclaimer
·
Sitemap