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Trigonometric Ratio and Identites

JEE Main 2021 · 24 Feb, Morning shift · Q5664

MathematicsMedium45×since 2004Q5664

{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 < x < {\pi \over 2}} \right)

is :

JEE Main 2021 · 24 Feb, Morning shift · Q5664

MathematicsMedium45×since 2004Q5664

{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 < x < {\pi \over 2}} \right)

is :

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