Domain of f(x)=cos^(-1)x+cot^(-1)x+cosec...

Domain of `f(x)=cos^(-1)x+cot^(-1)x+cosec^(-1)x` is

A

[-1,1]

B

R

C

`(-oo,-1] cup [1,oo)`

D

{-1,1}

Text Solution

Verified by Experts

The correct Answer is:

D

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INVERSE TRIGONOMETRIC FUNCTIONS
MOTION|Exercise Exercise -2 (Level -I)|7 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
MOTION|Exercise Exercise -2 (Level -II)|12 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
MOTION|Exercise Exercise -4 Level -II|7 Videos
INDEFINITE INTEGRATION
MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos
LIMIT
MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

Range of f(x)=cot^(-1)x+tan^(-1)x+csc^(-1)x is

Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)x

Knowledge Check

Range of the function f(x)=cos^(-1)x+2cot^(-1)x+3cosec^(-1)x is equal to

A

`[pi,2pi]`

B

`{pi,2pi}`

C

`{2pi,3pi}`

D

`[2pi,3pi]`

The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ^(-1) ( 2-x) is

A

[0,1]

B

[-1,1]

C

[1,3]

D

None of these

Similar Questions

Explore conceptually related problems

The range of function f(x)=cot^(-1)x+sec^(-1)x+ cosec^(-1)x is

The range of function f(x)=cot^(-1)x+sec^(-1)x+cosec^(-1)x is

The range of f(x)=cos^(-1)x+csc^(-1)x is

The domain of f(x)=sin^(-1)x+cos ec^(-1)x is

The domain of sin^(-1)x+cos^(-1)x is

Find the domain of f(x)=cos^(-1)x+cos x

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Section A: Domain, Range

Domain of f(x)=cos^(-1)x+cot^(-1)x+cosec^(-1)x is
02:16
|
Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is
02:02
|
If x ge 0 and theta=sin^(-1) x+cos^(-1)x-tan^(-1)x, then
02:29
|
Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...
03:07
|
cosec^(-1)(cos x) is real if
01:55
|
If cos (tan ^(-1) (sin (cot^ (-1) sqrt(3)))) =y, then
02:09
|
The value of tan[sin^(-1) (3/5)+tan^(-1) (2/3)] is
03:34
|
tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...
03:04
|
The value of cos (1/2 cos^(-1) . 1/8) is equal to
02:00
|
The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...
01:24
|
If xlt0, then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to
01:52
|
tan^-1a+tan^-1b, where a > 0, b>0, ab > 1, is equal to
01:16
|
Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...
03:47
|
If sin^(-1)x + sin^(-1)y =(2pi)/3, then: cos^(-1)x +cos^(-1)y=
01:51
|
if tan ^-1 (( sqrt (1+x^2)-1)/x) = pi/45 then:
04:23
|
If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4, then tan theta is...
06:29
|
cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...
02:24
|
Find all possible values of p and q for which cos^-1 sqrt(p)+cos^-1 sq...
03:58
|
The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has
05:07
|
The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x s...
04:17
|