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Inverse Trigonometric Functions
find the value of sin cot...
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medium
Find the value of \( \sin [\cot^{-1} \sqrt{2} (\cos (\tan^{-1} 1))] \).
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Always work composition problems from the inside out. Simplifying the inner parts often converts complicated radical terms back into standard key trigonometric angles.
CBSE Class XII - 2026
CBSE Class XII
Updated On:
Jul 4, 2026
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Top Questions on Inverse Trigonometric Functions
The principal value of
\( \cot^{-1} \left( -\frac{1}{\sqrt{3}} \right) \)
is:
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The principal branch of $\cos^{-1} x$ is:
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The principal value of
\( \cot^{-1} \left( -\frac{1}{\sqrt{3}} \right) \)
is:
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Assertion (A): The set of values of $\sec^{-1} \left( \frac{\sqrt{3}}{2} \right)$ is a null set.
Reason (R): $\sec^{-1}x$ is defined for $x \in \mathbb{R} - (-1, 1)$.
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