If `f:[pi/2,(3pi)/2]rarr[-1,1]` and is defined by `f(x)=sinx, then f^-1(x)` is given by

f:(-(pi)/(2),(pi)/(2))rarr(-oo,oo) defined by f(x)=tan x is

If f:(-(pi)/(2),(pi)/(2))rarr(-oo,oo) is defined by f(x)=tan x then f^(-1)(2+sqrt(3))=

Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 sinx-cosx+2 . Then f^-1(x) is given by

Let f: [-pi/2, pi/2]rarr[-1, 1] , where f(x)=sinx. Find whether f(x) is one-one or not.

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Let f:[-pi/3,(2pi)/3] rarr [0,4] be a function defined as f(x)=sqrt(3)sinx-cosx+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

If f:(-(pi)/(2),(pi)/(2))rarr R and g:[-1,1]rarr R be defined as f(x)=tan x and g(x)=sqrt(1-x^(2)) respectively.Describe fog and gof