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Sum and Difference Formulas (Tangent)

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More Lessons for High School Regents Exam
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High School Math based on the topics required for the Regents Exam conducted by NYSED.

The following diagrams show the formulas for the tangent of a sum or difference. Scroll down the page for more examples and solutions for the sum and difference identities for tangent.

Tangent Sum Difference

Sum and Difference Identities for Tangent
Use the sum and difference identities to determine function values.
Examples:
1. Determine the exact value of tan(-105°)
2. Determine the exact value of tan(5π/12)
3. Use an identity to write tan(π - θ) as a single function of θ



Sum and Difference Formula for Tangent
Use the sum and difference formula for tangent to find exact values of non-special angles
Example:
use the angle sum or difference formula to evaluate the exact answer below.
tan 75°


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