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Trigonometric Ratio and Identites question

2021 · 24 Feb · Shift 1 · Q33

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2021 · 24 Feb · Shift 1 · Q33

Trigonometric Ratio and Identites question

2021 · 24 Feb · Shift 1 · Q33

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If

{e^{\left( {{{\cos }^2}x + {{\cos }^4}x + {{\cos }^6}x + ...\infty } \right){{\log }_e}2}}

satisfies the equation t2 - 9t + 8 = 0, then the value of

{{2\sin x} \over {\sin x + \sqrt 3 \cos x}}\left( {0 \lt x \lt {\pi \over 2}} \right)

is :

A
$\sqrt 3$
B
${3 \over 2}$
C
2 $\sqrt 3$
D
${1 \over 2}$

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