Home
Class 12
MATHS
Prove that tan^(-1)x+cot^(-1)x=(pi)/(2),...

Prove that `tan^(-1)x+cot^(-1)x=(pi)/(2), x in R`.

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/2`
Promotional Banner

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART-C|22 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - E (Answer any one question).|4 Videos

Similar Questions

Explore conceptually related problems

Prove that sin ^(-1) x + cos^(-1) x=pi/2 , x in [-1,1]

Prove that sin^(-1) x+cos^(-1) x=pi/2, x in [-1,1]

Solve : tan^(-1)2x+tan^(-1)3x= (pi)/(4)

Find x, if tan^(-1)4+cot^(-1)x=(pi)/(2) .

Solve tan^(-1)2x+tan^(-1)3x=(pi)/4

Prove that cot^(-1)(-x)=pi-cot^(-1)x,AAx inR .

Prove that tan^(-1)((cosx)/(1+sinx))=pi/4-x/2x in [-pi/2,pi/2]

The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is