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2006 AMC 12A Problems/Problem 15

Revision as of 18:55, 5 November 2006 by Xantos C. Guin (talk | contribs) (added link to previous and next problem)

Problem

Suppose $\cos x=0$ and $\cos (x+z)=1/2$. What is the smallest possible positive value of $z$?

$\mathrm{(A) \ } \frac{\pi}{6}\qquad \mathrm{(B) \ } \frac{\pi}{3}\qquad \mathrm{(C) \ } \frac{\pi}{2}\qquad \mathrm{(D) \ } \frac{5\pi}{6}$

$\mathrm{(E) \ } \frac{7\pi}{6}$

Solution

See also

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