I am struggling with a simple trig equation, again.
The question is to solve, on the interval ,
Using my graphing calculator I get four solutions.
Dividing through by I get:
, for which there are only two solutions. Two of the four I should have.
I have come across this before, where decreasing the power reduces the number of solutions, which makes sense, although I don't understand it. I'd by grateful if someone would explain where I'm going wrong.