Question

Sin^2(x)-cos^2(x)=0
Find all the solutions in the interval [0,2pi)
Plz help.

Answer 1

Hello,
as sin² x -cos² x=cos 2x
The equation is
cos 2x=0
==>2x=π/2+kπ
==>x=π/4+kπ/2 with k integer