For all real values of x, -2 is equal to: - Vidyadip

MCQ

For all real values of $\text{x},\cot\text{x}-2\cot\text{}$ is equal to:

A
$\tan2\text{x}$
B
$\tan\text{x}$
C
$-\cot3\text{x}$
D
None of these

✓

Answer

$\tan\text{x}$

Solution:

We have,

$\cot\text{x}-2\cot2\text{x}=\cot\text{x}-2\frac{\cot^2\text{x}-1}{2\cot\text{x}}$

$=\frac{1}{\cot\text{x}}$

$=\tan\text{x}$

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 Trigonometric Functions→Trigonometric Functions — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let P be a set of squares, Q be set of parallelograms, R be a set of quadrilaterals and S be a set of rectangles. Consider the following:

P Ì Q
R Ì P
P Ì S
S Ì R

Which of the above are correct?

The sum of the coefficient in the expansion of (x + y)ⁿ is 4096. The greatest coefficient in the expansion is:

If the length of the major axis of an ellipse is three times the length of the minor axis then its eccentricity is:

The sum of an infinite G.P. is 4 and the sum of the cubes of its terms is 92. The common ratio of original G.P. is:

$\frac12$
$\frac{2}{3}$
$\frac13$
$\frac{-1}{2}.$

If $\alpha,\beta$ are the roots of the equation x2 + px + 1 = 0; $\gamma,\delta$ the roots of the equation x²+ qx + 1 = 0, then $(\alpha-\gamma)(\alpha+\delta)(\beta-\delta)(\beta+\delta)=$

Choose the correct answer.
The value of $\tan3\text{A}-\tan2\text{A}-\tan\text{A}$ is equal to:

If A × B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B:

Find the derivative of e^x²:

Find the sum of coefficient of middle terms of the expansion $\Big(3\text{x}-\frac{\text{x}^3}{6}\Big)^7:$

Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is:

6.5
2.87
3.87
8.25