Home
Class 12
MATHS
solve the equation cot^-1 x + tan^-1 3 =...

solve the equation `cot^-1 x + tan^-1 3 = pi/2`

Text Solution

Verified by Experts

The correct Answer is:
`x =3`

`cot^(-1) x tan^(-1) 3 = (pi)/(2)`
`rArr cot^(-1) x = (pi)/(2) - tan^(-1) 3`
`rArr cot^(-1) x = cot^(-1) 3`
`:. x = 3`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 7.5|13 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 7.6|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 7.3|12 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

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

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

Solve the equation cot x+tan x=2cos ecx

Solve the equation : tan x+cot x=2

Solve the equation cos(tan^(-1)x) = sin(cot^(-1)'3/4) .

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

How many solutions does the equation 5 tan ^(-1)x+3cot^(-1)x=2 pi have ?

Solve the equation |sin3x|^(cot2x)=1

Solve the following equation for x:tan^(-1)((2x)/(1-x^(2)))+cot^(-1)((1-x^(2))/(2x))=(2 pi)/(3),x>0

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