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Back to 5.3 The Other Trigonometric Functions

Using Identities to Evaluate Trigonometric Functions

Avg difficulty 2.5
  1. ⓐ Given sin(45°)= 2 2 ,cos(45°)= 2 2 , \sin \left(45°\right) = \frac{\sqrt{2}}{2} , \cos \left(45°\right) = \frac{\sqrt{2}}{2} , evaluate tan(45°). \tan \left(45°\right) .
  2. ⓑ Given sin( 5π 6 )= 1 2 ,cos( 5π 6 )=− 3 2 ,evaluatesec( 5π 6 ). \sin \left(\frac{5 \pi}{6}\right) = \frac{1}{2} , \text{cos} \left(\frac{5 \pi}{6}\right) = - \frac{\sqrt{3}}{2} , \text{evaluate} \sec \left(\frac{5 \pi}{6}\right) .

OpenStax Precalculus 2e, 5.3 The Other 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.