Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. BITSAT The value of sin(cot-1 x) is
# Engineering

  1. \frac{x}{\sqrt{1+x^{2}}}
  2. \frac{1}{\sqrt{1+x^{2}}}
  3. \frac{\sqrt{1+x^{2}}}{x}
  4. \sqrt{1+x^{2}}

Answers (1)
A Abhishek Sahu

Let \cot ^{-1}x = \Theta

\Rightarrow \cot\Theta = x

Using Pythagoras theorem, \sin \Theta =\frac{1}{\sqrt{1+x^2}}

\Rightarrow \Theta =\sin ^{-1} \left ( \frac{1}{\sqrt{1+x^2}} \right )

\sin \left ( \sin ^{-1} \left ( \frac{1}{\sqrt{1+x^2}} \right ) \right ) = \frac{1}{\sqrt{1+x^2}}

Option (2) is correct

Similar Questions

Exams
Articles
Questions