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JEE Main202126 Feb 2021Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

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 _______.

Correct answer

0

Step-by-step solution

3 sin x + 4 cos x = k + 1 ⇒ k + 1 ∈ - 3 2 + 4 2 , 3 2 + 4 2 ⇒ k + 1 ∈ - 5 , 5 ⇒ k ∈ - 6 , 4 No. of integral values of k = 11

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