Let the set of all a in ℝ such that the equation cos(2x) + a sin(… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Trigonometric Ratios & Identities

Let the set of all $a$ in $\mathbb{R}$ such that the equation $\cos(2x) + a \sin(x) = 2a - 7$ has a solution be $[p, q]$ , and $r = \tan(9^\circ) - \tan(27^\circ) - \frac{1}{\cot(63^\circ) + \tan(81^\circ)}$ . Then $pqr$ is equal to:

A
$48$
B
$47$
C
$49$
D
$50$

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