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Find the number of the integral values of k for which the equation 7 cos x + 5 sin x = 2k + 1 has a solution.

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Find the number of the integral values of k for which the equation 7 cos x + 5 sin x = 2k + 1 has a solution.

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We have

So, the integral values of k are -4,-3,-2,-1,0,1,2,3(eight values).

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