In Exercises 91 and 92, write the function in terms of the sine function by using the

Chapter 5, Problem 92

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Using a Trigonometric Identity In Exercises 91 and 92, write the function in terms of the sine function by using the identity

\(A \cos \omega t+B \sin \omega t=\sqrt{A^{2}+B^{2}} \sin \left(\omega t+\arctan \frac{A}{B}\right)\)

Use a graphing utility to graph both forms of the function. What does the graph imply?

\(f(t)=4 \cos \pi t+3 \sin \pi t\)

Text Transcription:

A cos omega t+B sin omega t=sqrt{A^{2}+B^{2}} sin(omega t+arctan frac{A}{B})

f(t)=4 cos pi t+3 sin pi t