If $\tan \frac{A}{2}=\frac{3}{2}$, then $\frac{1+\cos A}{1-\cos A}=$

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

\tan \frac{A}{2}=\frac{3}{2}

, then

\frac{1+\cos A}{1-\cos A}=

View answer and explanation

Correct option: D

4 / 9

Option D (

\frac{{4}}{{9}}

) is correct because

\frac{{1 + \cos A}}{{1 - \cos A}}

is equal to

\cot^2(\frac{{A}}{{2}})

, and since

\tan(\frac{{A}}{{2}}) = \frac{{3}}{{2}}

, then

\cot^2(\frac{{A}}{{2}}) = (\frac{{2}}{{3}})^2 = \frac{{4}}{{9}}

Practice All Chapter MCQs →

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