1 3A - A - 1 3A - A = - Vidyadip

MCQ

$\frac{1}{{\tan 3A - \tan A}} - \frac{1}{{\cot 3A - \cot A}} = $

A
$\tan A$
B
$\tan 2A$
C
$\cot A$
✓
$\cot 2A$

✓

Answer

Correct option: D.

$\cot 2A$

d
(d) $\frac{1}{{\tan 3A - \tan A}} - \frac{1}{{\cot 3A - \cot A}}$

$=\frac{1}{{\tan 3A - \tan A}} + \frac{{\tan A\tan 3A}}{{\tan 3A - \tan A}}$

$= \frac{1}{{\tan 2A}} = \cot 2A$.

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 "MCQ" from 3. trignometrical ratios,functions and identities→3. trignometrical ratios,functions and identities — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The slope of the line touching both the parabolas ${y^2} = 4x$ and ${x^2} = - 32y$, is

$p^{th}$ term of the series $\left( {3 - \frac{1}{n}} \right) + \left( {3 - \frac{2}{n}} \right) + \left( {3 - \frac{3}{n}} \right) + ....$ will be

Solution of $\bigg|\text{x}+\frac{1}{\text{x}}\bigg|>2$ is:

For the four circles $M , N , O$ and $P ,$ following four equations are given

Circle $M : x ^{2}+ y ^{2}=1$ ; Circle $N : x ^{2}+ y ^{2}-2 x =0$ ; Circle $O : x ^{2}+ y ^{2}-2 x -2 y +1=0$ ;Circle $P: x^{2}+y^{2}-2 y=0$

If the centre of circle $M$ is joined with centre of the circle $N$, further centre of circle $N$ is joined with centre of the circle $O ,$ centre of circle $O$ is joined with the centre of circle $P$ and lastly, centre of circle $P$ is joined with centre of circle $M ,$ then these lines form the sides of a

The equation of the parabola whose vertex is $(-1, -2)$, axis is vertical and which passes through the point $(3, 6)$, is

Let $S$ be the sum of all solutions (in radians) of the equation $\sin ^{4} \theta+\cos ^{4} \theta-\sin \theta \cos \theta=0$ in $[0,4 \pi]$ Then $\frac{8 \mathrm{~S}}{\pi}$ is equal to ...... .

If the sum of $1 + \frac{{1 + 2}}{2} + \frac{{1 + 2 + 3}}{3} + .....$ to $n$ terms is $S$, then $S$ is equal to

If the area of the triangle whose one vertex is at the vertex of the parabola, ${y^2} + 4\,\left( {x - {a^2}} \right) = 0$ and the other two vertices are the points of intersection of the parabola and $y -$ axis, is $250\, sq$. units, then a value of $‘a’$ is

A straight line through $P(1, 2)$ is such that its intercept between the axes is bisected at $P$ Its equation is

If $f(x) = \left\{ \begin{array}{l}{x^2} - 3,\;2 < x < 3\\2x + 5,\;3 < x < 4\end{array} \right.$, the equation whose roots are $\mathop {\lim }\limits_{x \to {3^ - }} f(x)$ and $\mathop {\lim }\limits_{x \to {3^ + }} f(x)$ is