Home
Class 12
MATHS
Write the value of x for which 2tan^(-...

Write the value of `x` for which
`2tan^(-1)x = cos^(-1)[(1-x^(2))/(1+x^(2))]` holds:

Text Solution

Verified by Experts

The correct Answer is:
`x ge 0`
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS (ANNUAL EXAM QUESTION PAPER MARCH - 2015)

    SUNSTAR PUBLICATION|Exercise PART-B|14 Videos

  • II PUC MATHEMATICS (ANNUAL EXAM QUESTION PAPER MARCH - 2015)

    SUNSTAR PUBLICATION|Exercise PART-C|14 Videos

  • II PUC MATHEMATICS ( SUPPLEMENTARY EXAM QUESTION PAPER JUNE -2019)

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

  • II PUC MATHEMATICS (ANNUAL EXAM QUESTIONS PAPER MARCH -2019)

    SUNSTAR PUBLICATION|Exercise PART-D|14 Videos

Similar Questions

Explore conceptually related problems

Write the set of the value of x for which 2tan^(-1)x="cos"^(-1)(1-x^(2))/(1+x^(2)) holds.

Writeh the set of values of x for which 2tan^(-1)x="sin"^(-1)(2x)/(1+x^(2)) holds.

Write the values of x for which tan^(-1)"" 1/x=cot^(-1)x holds.

Write the set of values of x for which 2 tan^(-1)x="tan"^(-1)(2x)/(1-x^(2)) holds.

Write the values of x for which tan^(-1)""(1)/(x)=cot^(-1)x , holds.

Prove the following: 2tan^(-1)x=cos^(-1)((1-x^(2))/(1+x^(2))),xge0

The value of sin [tan ^(-1)((1-x^(2))/(2 x))+cos ^(-1)((1-x^(2))/(1+x^(2)))]=

The value of x for which sin (cot^(-1) (1+x))=cos (tan^(-1) x) is :

Prove the following: 2tan^(-1)x=sin^(-1)((2x)/(1+x^(2))),+x+le1