Home
Class 12
MATHS
Write cot^(-1)(1/sqrt(x^(2)-1)),xgt1 in ...

Write `cot^(-1)(1/sqrt(x^(2)-1)),xgt1` in the simplest form.

Text Solution

Verified by Experts

The correct Answer is:
`sec^(-1)x`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - A)|5 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - B)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|58 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

Similar Questions

Explore conceptually related problems

Express tan^(-1)((cosx)/(1-sinx)),-(3pi)/2ltxltpi/2 in the simplest form.

Write the following functions in the simplest from : cot^(-1)(1/sqrt(x^(2)-1)),xgt1

Write the following functions in the simplest form : tan^(-1)(1/(sqrt(x^(2)-1))),|x|gt1

Write the following functions in the simplest form : tan^(-1)((sqrt(1+x^(2))-1)/x),xne0

Write the following functions in the simplest form : "tan"^(-1)(x)/(sqrt(a^(2)-x^(2))),|x|lta

Write the following functions in the simplest form : tan^(-1)(sqrt((1-cosx)/(1+cosx))),0ltxltpi

Write the following functions in the simplest form : tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),agt0,(-a)/sqrt3ltxlta/sqrt3

Show that f(x)=2x+cot^(-1)x+log(sqrt(1+x^(2))-x) is increasing in R.

If cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)(xsqrt(6))),\ x!=0 , then possible value of x is