MHT-CET

Inverse Trigonometric Fun question bank (Mathematics)

Practice 186 free MHT-CET Mathematics - Inverse Trigonometric Fun questions with answers and step-by-step solutions.

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Q1.

The value of $\cos \left(\tan ^{-1}\left(\sin \left(\cot ^{-1} x\right)\right)\right)$ is

(A)

$\sqrt{\frac{x^2+1}{x^2-1}}$

(B)

$\sqrt{\frac{1-x^2}{2+x^2}}$

(C)

$\sqrt{\frac{1-x^2}{1+x^2}}$

(D)

$\sqrt{\frac{x^2+1}{x^2+2}}$

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Q2.

If $\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x$, then $x$ has the value

(A)

$1$

(B)

$\sqrt{3}$

(C)

$3$

(D)

$\frac{1}{\sqrt{3}}$

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