The determinant (\begin{vmatrix} x & \sin\theta & \cos\theta... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The determinant $\begin{vmatrix} x & \sin\theta & \cos\theta \\\ -\sin\theta & -x & 1 \\\ \cos\theta & 1 & x \end{vmatrix}$ is :

A

Independent of θ only

B

Independent of x only

C

Independent of both θ and x

D

Independent of x but not of θ

Answer

Independent of θ only

Explanation

Solution

The correct option is (A) :Independent of θ only.