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Determinants and Matrices — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsDeterminants and Matrices1 Mark
Question
Evaluate : $\left|\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos
\theta\end{array}\right|$
✓

Answer

$\left|\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right|=\cos ^2 \theta-\left(-\sin ^2 \theta\right)$
$
=\cos ^2 \theta+\sin ^2 \theta=1
$

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