If f(x) is a real-valued function define...

If f(x) is a real-valued function defined as f(x) = In (1 - sin x), then the graph of f(x) is a)symmetric about the line x = `pi` b)symmetric about the y-axis c)symmetric about the line `x=pi/2`d) symmetric about the origin

A

symmetric about the line x = `pi`

B

symmetric about the y-axis

C

symmetric about the line `x=pi/2`

D

symmetric about the origin

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The function f is defined by f(x)={(2-x,,x, ,0):} Draw the graph of Find f(x)

If f is a real function defined by f(x)=(x-1)/(x+1) , then prove that f(2 x)=(3f(x)+1)/(f(x)+3) .

If f is real valued function such that f(x+y) = f(x) + f(y) and f(1) = 5 , then find the value of f(100)

If f(x) is odd function and f(1) = a, and f(x+2) = f(x)+ f(2) then the value of f(3) is

Is the function defined by f(x)=x^2-sinx+5 continuous at x=pi?

Consider the function f:R rarr R defined by f(x)=|x-1| . Draw the graph of f(x).

Consider the function f:R to R defined by f(x)=|x-2| (iii)Draw the graph of f(x).

Consider the real valued function f(x)=(x-3)/(x^2-x-6) Find the domain of f(x) .

Define the real valued function f(x)=abs[x^2+2x-3