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5.2 Exercise 117

Avg difficulty 2.5

Use this scenario: A child enters a carousel that takes one minute to revolve once around. The child enters at the point ( 0,1 ), \left(0 , 1\right) , that is, on the due north position. Assume the carousel revolves counter clockwise.

When will the child have coordinates ( 0.707,–0.707 ) \left(0.707 , –0.707\right) if the ride lasts 6 minutes? (There are multiple answers.)

OpenStax Precalculus 2e, 5.2 Unit Circle: Sine and Cosine Functions, exercise 117

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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.