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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A particle is moving on a straight line, where its position $s$ (in metre) is a function of time $ t$ (in seconds) given by $s = a{t^2} + bt + 6,t \ge 0$. If it is known that the particle comes to rest after $4$ seconds at a distance of $16$ metre from the starting position $(t = 0)$, then the retardation in its motion is

Let $M$ denotes set of all $3 \times 3$ non singular matrices. Define the relation $R$ by

$R = \{ (A,B) \in M \times M$ : $AB = BA\} ,$ then $R$ is-

There are three girls in a class of $10$ students. The number of different ways in which they can be seated in a row such that no two of the three girls are together is

If $f(x) = \frac{{{e^{2x}} - {{(1 + 4x)}^{1/2}}}}{{\ln (1 - {x^2})}}$ for $x \ne 0,$ then $f$ has

The number of terms common to the two A.P.'s $3,7,11, \ldots ., 407$ and $2,9,16, \ldots . .709$ is

If $\int_{}^{} {\frac{{2x + 3}}{{{x^2} - 5x + 6}}} \;dx = 9\;\ln (x - 3) - 7\ln (x - 2) + A$, then $A = $

A fair coin is tossed a fixed number of times. If the probability of getting $7$ heads is equal to that of getting $9$ heads, then the probability of getting $3$ heads is

The solution set of $8x \equiv 6(\bmod 14),\,x \in Z$, are

There are$ 3$ candidates for a post and one is to be selected by the votes of $7$ men. The number of ways in which votes can be given is

Inverse of the matrix $\left( {\begin{array}{*{20}{c}}1&{ - 2}\\3&4\end{array}} \right)$ is