The number of integral values of k for which the equation 3 sin x + 4 cos x = k + 1 has a solution, k &#8712…

The number of integral values of k for which the equation 3sinx+4cosx=k+1 has a solution, k∈R is _______.

Solution

3sinx+4cosx=k+1

⇒k+1∈-32+42,32+42

⇒k+1∈-5,5

⇒k∈-6,4

No. of integral values of k=11

Asked in: JEE Main 2021 (26 Feb Shift 1)

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