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9.2 Exercise 53

Avg difficulty 2.5

Use a graph to determine whether the functions are the same or different. If they are the same, show why. If they are different, replace the second function with one that is identical to the first. (Hint: think 2x=x+x. 2 x = x + x . )

f(x)=sin(2x),g(x)=2sinxcosx f \left(x\right) = \sin \left(2 x\right) , g \left(x\right) = 2 \sin x \cos x

OpenStax Algebra and Trigonometry 2e, 9.2 Sum and Difference Identities, exercise 53

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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.