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Back to 8.3 Inverse Trigonometric Functions

Using Inverse Trigonometric Functions

Avg difficulty 2.5

Evaluate the following:

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

OpenStax Algebra and Trigonometry 2e, 8.3 Inverse Trigonometric Functions, exercise 9

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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.