The period of the function f(x)=abs(sinx...

The period of the function `f(x)=abs(sinx)+abs(cosx)` is
a)`2pi` b)`3pi` c)`(3pi)/2` d)`pi/2`

A

`2pi`

B

`3pi`

C

`(3pi)/2`

D

`pi`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

The period of the function f(x) = tan (4x - 1) is a) pi b) (pi)/(2) c) 2pi d) (pi)/(4)

The period of the function |sin^3""x/2|+|cos^5""x/5| is a) 2pi b) 10pi c) 8pi d) 5pi

The period of function f(x)="cos"4x+"tan"3x is a) pi//12 b) pi//6 c) pi//2 d) pi

The period of the function f(theta) = 4+4 sin^(3) theta - 3 sin theta is a) (2pi)/(3) b) (pi)/(3) c) (pi)/(2) d) pi

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

The minimum value of function f(x) = 8^(sin^(-1)x)+8^(cos^(-1)x) is a) 2^(1+pi/4) b) 2^(-1+(3pi)/4) c) 2^(1+(3pi)/4) d) 2^(-1+(pi)/2)

The minimum value of the function f(x)=(1)/(sinx+cosx) in the interval [0,(pi)/(2)] is

What is the fundamental period of f(x) = (sin x + sin 3x)/(cos x + cos 3x) a) pi//2 b) pi c) 2pi d) 3pi

The length of the largest continuous interval in which the function f(x) = 4x - tan 2x is monotonic is a) pi//2 b) pi//4 c) pi//8 d) pi//16