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Mathematics · 2024 · 2 marks
CBSE 2024 · Region 3 · Set 1 · Q25
Evaluate: (cos 45^°+ sin 60^°)/(sec 30^°+ cosec 30^°).
Evaluate : $\displaystyle \frac{\cos 45^{\circ}+\sin 60^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}}$.
Marking-scheme solution
\[\begin{aligned}
& \frac{\cos 45^{\circ}+\sin 60^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}} \\
& =\frac{\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}}{\dfrac{2}{\sqrt{3}}+2} \\
& =\frac{2 \sqrt{3}+3 \sqrt{2}}{4 \sqrt{2}(1+\sqrt{3})}
\end{aligned}
\]
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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.