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

User Atomkirk
by
7.4k points

1 Answer

5 votes
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


User Neobot
by
8.1k points
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