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Please solve RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 43 maths textbook solution.

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Answer: 0

Hint: Here we use basic concept of determinant of matrix

Given: \left|\begin{array}{ll} \cos 15^{\circ} & \sin 15^{\circ} \\ \sin 75^{\circ} & \cos 75^{\circ} \end{array}\right|

Solution :

\begin{aligned} &\left(\cos 15^{\circ} \times \cos 75^{\circ}\right)-\left(\sin 15^{\circ} \times \sin 75^{\circ}\right) \\ &\text { using } \cos (A+B)=(\cos A \times \cos B)-(\sin A \times \sin B) \\ &=\cos (15+75) \\ &=\cos 90^{\circ}=0 \end{aligned}

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