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Trigonometric Functions and Equations question

2024 · 29 Jan · Shift 1 · Q34

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JEE Main
Mathematics
Trigonometric Functions and Equations
2024 · 29 Jan · Shift 1 · Q34

Trigonometric Functions and Equations question

2024 · 29 Jan · Shift 1 · Q34

JEE MainMathematicsTrigonometric Functions and EquationsMCQ+4 / −1

If

\alpha,-\frac{\pi}{2}\lt \alpha\lt \frac{\pi}{2}

is the solution of

4 \cos \theta+5 \sin \theta=1

, then the value of

\tan \alpha

is

A
$\frac{10-\sqrt{10}}{12}$
B
$\frac{\sqrt{10}-10}{6}$
C
$\frac{\sqrt{10}-10}{12}$
D
$\frac{10-\sqrt{10}}{6}$

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