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Depends on what it equals to. cos(6x) = ?
\[-1\le \Theta \le 1\]
These are the only values accepted for sine and cosine, so like @Psymon said, it depends what its equal to.
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A lot of the time you want to solve simply for x first. For example, if we say cos(6x) = (1/2), we would first solve as if this were cosx = (1/2) So if wanted to find x, x would just be pi/3. So given that x = pi/3, in order to get 6x, we would write 6x = pi/3. In this case, dividing by 6 to get x by itself, x would be pi/18. This would be a normal way tosolve for x when you have something liek cos(6x)