Value of | cos 15 ° sin 15 ° sin 15 ° cos 15 ° | is:

Question

Value of $| \begin{matrix} \cos 15 ° & \sin 15 ° \\ \sin 15 ° & \cos 15 ° \end{matrix} |$ is:

Smart Achievers · Accepted Answer

(3)

Ans. $\frac{\sqrt{3}}{2}$

Explanation:

$Δ =$ $| \begin{matrix} \cos 15 ° & \sin 15 ° \\ \sin 15 ° & \cos 15 ° \end{matrix} |$

$= \cos^{2} 15 ° - \sin^{2} 15 °$

$= \cos (2 \times 15 °) = \cos 30 °$

$= \frac{\sqrt{3}}{2}$

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