Home
Class 12
MATHS
The range of tan^-1 x is...

The range of `tan^-1 x` is

A

`(0,pi/2)`

B

`(-pi/2,pi/2)`

C

`[-pi/2,pi/2]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Exercise 4D|6 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

  • LINEAR DIFFERENTIAL EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|27 Videos

Similar Questions

Explore conceptually related problems

Let the domain and range of inverse circular functions are defined as follows: If xepsilon[-1,1] then range of tan^(-1)(-x) is

The range of f(x)=[tan x] is where [.] is a G.I.F

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: If x in [1,sqrt(3)], then the range of f(x)=tan^(-1)x is [pi/4,pi/3] Statement 2 : If x in [a , b], then the range of f(x)i s[f(a),f(b)]dot

The range of f(x)=tan^(-1)sqrt([x]+[-x])+sqrt(3-|x|)+(1)/(x^(2))

Find the range of tan^(-1)((2x)/(1+x^(2)))

Find the range of f(x)=tan^(-1)sqrt((x^(2)-2x+2))

Find the range of f(X) =t tan^(-1)x-(1)/(2)log_(e)x in (1)/(sqrt(3)),(sqrt(3))

Range of y = cos(tan^(-1)x) is equal to

If the range of f(x)=tan^(1)x+2sin^(-1)x+cos^(-1)x is [a, b] , then

The range of f(x)=(1-tan x)/(1+tan x) is