Find the positive angle, which satisfies the equation tan^2(x) - tan(x) = 0 i know the answer, but i don't quite understand how to do the question. explain how you got the answer if you can.

If it helps, you can replace with . How would you go about solving ?

We can write



from which we have two possibilities, either or .

Both equations have infinitely many solutions because for any integer . But we're viewing as a positive angle, which means . Moreover, we can assume is an acute angle, so that .

Now, for , which means there are no solutions to this equation on this interval.

On the other hand, for .