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Mathematics · 2024 · 2 marks
CBSE 2024 · Region 3 · Set 3 · Q22
Evaluate: (5 tan 60^°)/(( sin^2 60^°+ cos^2 60^°) tan 30^°)
Evaluate $\displaystyle : \frac{5 \tan 60^{\circ}}{\left(\sin ^{2} 60^{\circ}+\cos ^{2} 60^{\circ}\right) \tan 30^{\circ}}$
Marking-scheme solution
\[\begin{gathered}
\frac{5 \tan 60^{\circ}}{\left(\sin ^{2} 60^{\circ}+\cos ^{2} 60^{0}\right) \tan 30^{\circ}} \\
\frac{5 \times \sqrt{3}}{\left[\left(\dfrac{\sqrt{3}}{2}\right)^{2}+\left(\dfrac{1}{2}\right)^{2}\right] \times \dfrac{1}{\sqrt{3}}} \\
=15
\end{gathered}
\]
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.