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Mathematics · 2025 · 2 marks
Introduction to TrigonometryTrigonometric Ratios of Some Specific Angles2 marksApplyvery short answer
CBSE 2025 · Region 3 · Set 1 · Q21
If 4 k = tan^2 60^°-2 cosec^2 30^°-2 tan^2 30^°, then find the value of k.
If $\displaystyle 4 \mathrm{k}=\tan ^{2} 60^{\circ}-2 \operatorname{cosec}^{2} 30^{\circ}-2 \tan ^{2} 30^{\circ}$, then find the value of k .
Marking-scheme solution
\[\begin{aligned}
4 \mathrm{k} & =(\sqrt{3})^{2}-2(2)^{2}-2\left(\frac{1}{\sqrt{3}}\right)^{2} \\
& =-\frac{17}{3} \\
\mathrm{k} & =-\frac{17}{12}
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.