1. Tardigrade
  2. Question
  3. Mathematics
  4. If cos x operatornamecosec 2 x= cot 2 x, then x=

Q. If $\cos x \operatorname{cosec} 2 x=\cot 2 x$, then $x=$

KCETKCET 2022 Report Error

Solution:

$\cos x \text{cosec} 2 x =\cot 2 x $
$\Rightarrow \frac{\cos x}{2 \sin x \cos x} $
$\Rightarrow \cos x =\cos 2 x $
$\Rightarrow 2 x =2 n \pi \pm x$
$x =\frac{2 n \pi}{2 \pm 1}=\frac{2 n \pi}{3}$
or $2 n \pi$

Questions from KCET 2022

1. It is observed that $23 x+17 y=1$ for some integers $x$ and $y$. Then $(x, y)=$

2. The sum of all the positive divisors of $180$ excluding $1$ and itself is

3. If $x+y+z=\pi$ then the value of $\begin{vmatrix}\sin (x+y+z) & \sin B & \cos z \\ -\sin B & 0 & \tan A \\ \cos (x+y) & -\tan A & 0\end{vmatrix}$ is

4. If the value of a third order determinant is $11 $ , then the value of the determinant formed by the cofactors will be

5. If $A=\begin{bmatrix}1 & -1 & 2 \\ 2 & 3 & 1 \\ 1 & -2 & 3\end{bmatrix}$ then $\text{adj}\left(A^{-1}\right)=$

Mathematics Most Viewed Questions

1. The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

WBJEE 2011 Differential Equations

2. The solution of the differential equation $\frac{dy}{dx} = (x +y)^2$ is

COMEDK 2009 Differential Equations

3. $\int\frac{1}{\sin x\, \cos x}$ dx is equal to

KEAM 2016 Integrals

4. If $\begin{bmatrix}1&- \tan\theta \\ \tan \theta&1\end{bmatrix}\begin{bmatrix}1&\tan \theta \\ - \tan \theta &1\end{bmatrix}^{-1} = \begin{bmatrix}a&-b\\ b&a\end{bmatrix}$ then

COMEDK 2009 Matrices

5. The value of $ \int{\frac{{{x}^{2}}+1}{{{x}^{4}}-{{x}^{2}}+1}}dx $ is

KEAM 2007 Integrals

Latest Updates