The number of integral values of 'k ' for which the equation 3 sin ⁡x+4 cos ⁡x=k+1 has a solution, k ∈R is

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Accepted Answer

Correct answer: 11. (11) 3 sin ⁡x+4 cos ⁡x=k+1 -5 k+1 5 -6 k 4 -6 ,-5 ,-4 ,-3 ,-2 ,-1 ,0 ,1 ,2 ,3 ,4 ∣ ⇒11integral values

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