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Mathematics · 2026 · 2 marks
Inverse Trigonometric FunctionsProperties of Inverse Trigonometric Functions2 marksApplyvery short answer
CBSE 2026 · Region 5 · Set 2 · Q21
Evaluate sin [ cos^-1 cos ((7 π)/6)].
Evaluate $\displaystyle \sin \left[\cos ^{-1} \cos \left(\frac{7 \pi}{6}\right)\right]$.
Marking-scheme solution
Given expression $\displaystyle =\sin \cos^{-1}\left(\dfrac{-\sqrt{3}}{2}\right)$ or $\displaystyle \sin \cos^{-1} \cos\left(2 \pi-\dfrac{5 \pi}{6}\right)$
$\displaystyle =\sin \dfrac{5 \pi}{6}$
$\displaystyle =\dfrac{1}{2}$
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CBSE Class 12 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.