Home
Class 12
MATHS
Let f:[-pi/3,(2pi)/3] rarr[0,4] be a fun...

Let `f:[-pi/3,(2pi)/3] rarr[0,4]` be a function defined as f(x) `= sqrt3 sin x - cos x +2 ` . Then `f^(-1)` (x) is given by a)`sin^(-1)((x-2)/2)-pi/6` B)`sin^(-1)((x-2)/2)+pi/6` C)`(2pi)/3 + cos^(-1)((x-2)/2)` D)None of these

A

`sin^(-1)((x-2)/3)-pi/6`

B

`sin^(-1)((x-2)/3)+pi/6`

C

`(2pi)/3 + cos^(-1)((x-2)/2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Period of f(x) = cos (Isin xl - Icosxl) is a) pi b) 2pi c) pi/2 d)None of these

The value of sin^(-1)(x^2-4x +6) +cos^(-1)(x^2-4x+6) for all x in R is a) pi//2 b) pi c)0 d)None of these

The period of the function f(x) = |sin 2x| + |cos 8x| is a) 2pi b) pi c) (2pi)/(3) d) (pi)/(2)

Let f(x)=cos^(-1)((x^2)/(1+x^2)) . The range of f is a) [0,pi/2] b) [-pi/2,pi/2] c) [-pi/2,0] d)None of these

Let f (x) = sin x - cos x. Then the value of lim _( x to pi/2) ""(f (x)- f ((pi)/(2)))/(x - (pi)/(2)) is

Discuss the extremum of f(x) = sin x (1 + cos x), x in (0, pi//2) .

The range of f(x) = sin^(-1) x+tan^(-1) x + sec^(-1) x is a) (pi/4,(3pi)/4) b) [pi/4,(3pi)/4] c) {(pi)/4,(3pi)/4} d)None of these

If sin^(-1)(x-1)+cos^(-1)(x-3) +tan^(-1)(x/(2-x^2))= cos^(-1)k+pi then the value of k is A)1 B) -1/sqrt2 C) 1/sqrt2 D)None of these

The value of the expression sin^(-1)(sin""(22pi)/7)+cos^(-1)(cos""(5pi)/3)+tan^(-1)(tan""(5pi)/7)+sin^(-1)(cos2) is a) (17pi)/42 -2 b) -2 c) (-pi)/21 - 2 d)None of these