Question

help!
State the domain and range for the function.
f(x)=2csc(x/2))

Answer 1

For the domain, you want to consider numbers such that sin(x/2) is not zero since we cannot divide by zero.
So find when sin(x/2)=0 and those numbers will be the numbers we exclude from our domain.

Answer 2

Now the range of y=csc(x) is (-inf,-1]U[1,inf)
so you need to find the range of y=2*csc(x)...That just means our outputs for y=csc(x) will by multiplied by 2.

Answer 3

First when is sin(x/2)=0?