Can't figure out all of the non-permissible values of (cot(x))/(2sin^2(x)-1).
So far I've got 0, 1 and pi +npi (n being any integer) but I'm not even sure if those are right. Any help would be much appreciated.
Can't figure out all of the non-permissible values of (cot(x))/(2sin^2(x)-1).
So far I've got 0, 1 and pi +npi (n being any integer) but I'm not even sure if those are right. Any help would be much appreciated.
Cotx=cos(x)sin(x)So it is not defined when sin(x)=0 which is when x is any integer multiple of π So the non permissable values of x will include x=nπWhere n is any integer
ALSO
The deominator cannot equal 0 so
2sin2x−1≠0sin2x≠12sinx≠±1√2x≠π4+nπ2x≠π4(1+2n)n∈Z
so the non-permsissable values are
x=nπandx=π4(2n+1)n∈Z
------------------------
I have written this in LaTex which I think other people will be able to properly but it will not display properly for me.
Once I hit the preview button it will only show the raw code. When I hit post it will still only show the raw code.
Yes as I expected.