2017 AMC 12B Problems/Problem 7

Problem 7

The functions $\sin(x)$ and $\cos(x)$ are periodic with least period $2\pi$ . What is the least period of the function $\cos(\sin(x))$ ?

$\textbf{(A)}\ \frac{\sqrt{3}-1}{2}\qquad\textbf{(B)}\ \frac{1}{2}\qquad\textbf{(C)}\ \frac{\sqrt{5}-1}{2} \qquad\textbf{(D)}\ \frac{\sqrt{2}}{2} \qquad\textbf{(E)}\ \frac{\sqrt{6}-1}{2}$

Solution

2017 AMC 12B (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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All AMC 12 Problems and Solutions

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2017 AMC 12B Problems/Problem 7

Problem 7

Solution

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