The value of the determinant (\begin{vmatrix}acosθ\&bsinθ&0... | Mathematics | SolveeIt | Solveeit

Today, October 3

Question

The value of the determinant $\begin{vmatrix}acosθ&bsinθ&0 \\\\-bsinθ&acosθ&0\\\ 0&0&c\end{vmatrix}$ is:

A

(a²+b²)c

B

(a²cos²θ+b²sin²θ)c

C

(a²cos²θ-b²sin²θ)c

D

(a²+b²)c²

Answer

(a²cos²θ+b²sin²θ)c

Explanation

Solution

The correct option is (B):(a²cos²θ+b²sin²θ)c