Here's the equation: \({sin(x)cos(x) \over 1 + cos(x)}\)=\({1-cos(x) \over tan(x)}\)
So the non-permissible values are x ≠ \({π \over 2}\) + πn, n ∈ I; x ≠ π + 2πn, n ∈ I
they are very distinct.
I graphed both of these expressions on desmos.com and I'm just very confused as to how these graphs are identical? If the non-permissible values for the first and second expression are different than how are the graphs the same when graphed?
Thank you! :)
I am not sure what you problems is. I have graphed them here
https://www.desmos.com/calculator/nhxdil3szg
As you can see, the two graphs are identical. (except for the holes)
Did you want to see how they are the same algebraically?
Oh, you are saying that since the non permissable values are different the graphs cannot be the same.
You are right. The identity should state that it is not true for those points.