JEE PYQ: Trigonometric Equations And Inequations Question 6
Question 6 - 2021 (26 Feb Shift 1)
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:
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Answer: 11
Solution
$-5 \le k + 1 \le 5 \Rightarrow -6 \le k \le 4$
$k = -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4 \Rightarrow 11$ integral values