1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of |sin 10°&-cos 10° sin 80°&cos 80°| is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of $\begin{vmatrix}sin\,10^{\circ}&-cos\,10^{\circ}\\ sin\,80^{\circ}&cos\,80^{\circ}\end{vmatrix}$ is

Determinants

Solution:

Consider, $\begin{vmatrix}sin\,10^{\circ}&-cos\,10^{\circ}\\ sin\,80^{\circ}&cos\,80^{\circ}\end{vmatrix}$
$=sin \,10^{\circ} cos 80^{\circ}+\sin 80^{\circ}cos 10^{\circ}$
$-\sin \left(10^{\circ}+80^{\circ}\right)-\sin \left(90^{\circ}\right)-1$