Difference between revisions of "2006 AMC 12A Problems/Problem 15"
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== Problem == | == Problem == | ||
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| + | Suppose <math>\cos x=0</math> and <math>\cos (x+z)=1/2</math>. What is the smallest possible positive value of <math>z</math>? | ||
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| + | <math> \mathrm{(A) \ } \frac{\pi}{6}\qquad \mathrm{(B) \ } \frac{\pi}{3}\qquad \mathrm{(C) \ } \frac{\pi}{2}\qquad \mathrm{(D) \ } \frac{5\pi}{6}</math> | ||
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| + | <math>\mathrm{(E) \ } \frac{7\pi}{6}</math> | ||
== Solution == | == Solution == | ||
Revision as of 22:56, 10 July 2006
Problem
Suppose 
and 
. What is the smallest possible positive value of 
?
