JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

\cos \alpha=\frac{2 \cos \beta-1}{2-\cos \beta}(0 < \alpha < \beta < \pi)

, then

\frac{\tan \alpha / 2}{\tan \beta / 2}

is equal to

View answer and explanation

Correct option: C

\sqrt{3}

Option C (

\sqrt{3}

) is correct because after applying trigonometric identities and simplifying, the ratio

\frac{{\tan \frac{{\alpha}}{{2}}}}{{\tan \frac{{\beta}}{{2}}}}

equals

\sqrt{3}

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C

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