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Trigonometric Ratio and Identites question

2024 · 27 Jan · Shift 1 · Q54

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2024 · 27 Jan · Shift 1 · Q54

Trigonometric Ratio and Identites question

2024 · 27 Jan · Shift 1 · Q54

JEE MainMathematicsTrigonometric Ratio and IdentitesNumerical+4 / −1

Let the set of all

a \in \mathbf{R}

such that the equation

\cos 2 x+a \sin x=2 a-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

\underline{\hspace{2cm}}

.

Numerical answer

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