First slide

Introduction to ITF

Question

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

Easy

A

0
B

-1
C

1
D

None of these

Solution

We know that $\tan^{- 1} 1 = \frac{π}{4}$
$\begin{array}{l} ∴ \cot [\sin^{- 1} \{\cos (\tan^{- 1} 1)\}] \\ = \cot \{\sin^{- 1} (\cos \frac{π}{4})\} = \cot (\sin^{- 1} \frac{1}{\sqrt{2}}) = \cot \frac{π}{4} = 1 \end{array}$

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