Back to 9.2 Sum and Difference Identities

Verifying an Identity Involving Tangent

Avg difficulty 2.5

Verify the following identity.

\frac{\sin \left(\alpha - \beta\right)}{\cos \alpha \cos \beta} = \tan \alpha - \tan \beta

OpenStax Algebra and Trigonometry 2e, 9.2 Sum and Difference Identities, exercise 13

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.