If tan A 2 = 3 2 , then 1 + c o s A 1 − c o s A = Options: A . &nbsp-5 B . &nbsp5 C . &nbsp94 D . &nbsp49

Answer: Option D : D Given that tan A 2 = 3 2 . 1 + c o s A 1 − c o s A = 2 c o s 2 A 2 2 s i n 2 A 2 = c o t 2 A 2 = ( 2 3 ) 2 = 4 9

If tan A2 = 32, then 1+cosA1−cosA =

Question

If tan

\frac{A}{2}

\frac{3}{2}

, then

\frac{1 + c o s A}{1 - c o s A}

Options:

A . -5

B . 5

C . 94

D . 49

Answer: Option D
:
D
Given that tan

\frac{A}{2}

\frac{3}{2}

\frac{1 + c o s A}{1 - c o s A}

\frac{2 c o s^{2} \frac{A}{2}}{2 s i n^{2} \frac{A}{2}}

c o t^{2} \frac{A}{2}

{(\frac{2}{3})}^{2}

\frac{4}{9}

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