Class 11

14. Inverse Trigonometric Functions question bank (Maths)

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Q1.

If \(\cos^{-1}\left(\frac{1}{x}\right) = \theta\), then \(\tan\theta\) is -

(A)
\(\frac{1}{\sqrt{x^2 - 1}}\)
(B)
\(\sqrt{x^2 + 1}\)
(C)
\(\sqrt{1 - x^2}\)
(D)
\(\sqrt{x^2 - 1}\)
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Q2.

\(\sin(\cot^{-1}x)\) is -

(A)
\(\sqrt{1 + x^2}\)
(B)
\(x\)
(C)
\((1 + x^2)^{-3/2}\)
(D)
\((1 + x^2)^{-1/2}\)
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