What is the period of the graph of the function `y=(sinx)/(1+cosx) ` ?

Options

A. `4pi`
B. `2pi`
C. `pi`
D. `pi/2`

Answer

B

Explanation

With your calculator in radian mode, plot the graph of y=`sinx//(x+cosx)` and observe that the period is `2pi` .
An alternative solution is to use the identity tan `(x)/(2)=(sinx)/(1+cosx)` and the fact that the period of tanx is `pi` to deduce the period of `tan"" (x)/(2)` as `(pi)/(1//2)=2pi`