If A 2 = 3 2 , then 1 + A 1 - A = - Vidyadip

MCQ

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

A
$ - 5$
B
$5$
C
$9/4$
✓
$4/9$

✓

Answer

Correct option: D.

$4/9$

d
(d) Given that $\tan \frac{A}{2} = \frac{3}{2}$.

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

$= \frac{{2{{\cos }^2}\frac{A}{2}}}{{2{{\sin }^2}\frac{A}{2}}} $

$= {\cot ^2}\frac{A}{2} = {\left( {\frac{2}{3}} \right)^2} = \frac{4}{9}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 3. trignometrical ratios,functions and identities→STD 11 - 3. trignometrical ratios,functions and identities — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

$\sin163^\circ\cos347^\circ+\sin73^\circ\sin167^\circ=$

A committee of five is to be chosen from a group of $9$ people. The probability that a certain married couple will either serve together or not at all, is

If $\cot\text{x}-\tan\text{x}=\sec\text{x},$ then, $x$ is equal to:

$\mathop {\lim }\limits_{x \to 1} \frac{{1 + \cos \pi \,x}}{{{{\tan }^2}\pi \,x}}$ is equal to

Let $S_{n}=1 \cdot(n-1)+2 \cdot(n-2)+3 \cdot(n-3)+\ldots+$ $(\mathrm{n}-1) \cdot 1, \mathrm{n} \geq 4$

The sum $\sum_{n=4}^{\infty}\left(\frac{2 S_{n}}{n !}-\frac{1}{(n-2) !}\right)$ is equal to :

If one root of $a{x^2} + bx + c = 0$ be square of the other, then the value of ${b^3} + a{c^2} + {a^2}c$ is

If $\cot \theta + \cot \left( {\frac{\pi }{4} + \theta } \right) = 2$, then the general value of $\theta $ is

General solution of the equation $\cot \theta - \tan \theta = 2$ is

The average of $50$ numbers is $38.$ If two numbers namely $45$ and $55$ are discarded, the average of the remaining numbers is:

The domain of the function $f$ given by $\text{f(x)}=\frac{\text{x}^2+2\text{x}+1}{\text{x}^2-\text{x}-6}.$