Question

The value of determinant $\left| \begin{matrix} \sin^{2}13 & \sin^{2}77 & \tan 135 \\ \sin^{2}77 & \tan 135 & \sin^{2}13 \\ \tan 135 & \sin^{2}13 & \sin^{2}77 \end{matrix} \right|$is –

• A. –1
• B. 0
• C. 1
• D. 2

Answer 1

Answer: (B)

0

Answer 2

C₁ ¾® C₁ + C₂ + C₃

$\left| \begin{matrix} 0 & \sin^{2}77 & - 1 \\ 0 & - 1 & \sin^{2}13 \\ 0 & \sin^{2}13 & \cos^{2}13 \end{matrix} \right|$ = 0