algebra and trigonometry

[z51]

The period of the function f where f(x)=sinx/(1+cosx) is:
Α. 4pi Β. 2pi c. pi d.pi/2 Ε. pi/4

im thinking that it has something to do with that sinx has period 2pi and cosx has period 2pi but with that +1 in the dominator the period changes.
any help is apprecieted

 

[jonah2.0]

Beer soaked suggestion follows.

The period of the function f where f(x)=sinx/(1+cosx) is:
Α. 4pi Β. 2pi c. pi d.pi/2 Ε. pi/4

im thinking that it has something to do with that sinx has period 2pi and cosx has period 2pi but with that +1 in the dominator the period changes.
any help is apprecieted

z51 algebra and trigonometry prob

www.desmos.com

 

[z51]

Beer soaked suggestion follows.

z51 algebra and trigonometry prob

www.desmos.com

i know......but how to solve it to yhe exam?

 

[Steven G]

The 1 does not have anything to do with the period!

[math]\dfrac{sin(x)}{1+cos(x)} = \dfrac{sin(x+2\pi)}{1+cos(x+2\pi)}[/math]

 

[Deleted member 4993]

The period of the function f where f(x)=sinx/(1+cosx) is:
Α. 4pi Β. 2pi c. pi d.pi/2 Ε. pi/4

im thinking that it has something to do with that sinx has period 2pi and cosx has period 2pi but with that +1 in the dominator the period changes.
any help is apprecieted

Try to write the given expression in terms of (x/2) and it will simplify!