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Evaluating Inverse Trigonometric Functions for Special Input Values

Avg difficulty 2.5

Evaluate each of the following.

  1. ⓐ sin −1 ( 1 2 ) \text{sin}^{- 1} \left(\frac{1}{2}\right)
  2. ⓑ sin −1 ( − 2 2 ) \text{sin}^{- 1} \left(- \frac{\sqrt{2}}{2}\right)
  3. ⓒ cos −1 ( − 3 2 ) \cos^{- 1} \left(- \frac{\sqrt{3}}{2}\right)
  4. ⓓ tan −1 ( 1 ) \tan^{- 1} \left(1\right)

OpenStax Algebra and Trigonometry 2e, 8.3 Inverse Trigonometric Functions, exercise 3

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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.