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When the function $f(x) = 2(\cos 3x + \cos \sqrt{3} x)$ attains its maximum value,what is the number of values of $x$?

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If $A+B+C=270^{\circ}$,then $\cos 2A+\cos 2B+\cos 2C$ is equal to:

If $5 \cos x + 12 \cos y = 13$,then the maximum value of $5 \sin x + 12 \sin y$ is:

The number of integral values of $k$ for which the equation $3 \sin x + 4 \cos x = k + 1$ has a solution,where $k \in R$,is:

For $x \in \mathbb{R}$,the range of $3 \cos (4x - 5) + 4$ lies in the interval:

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