Lưu ý: \(1=sin^2a+cos^2a\)
Do đó:
a.
\(1-sin^2a=\left(sin^2a+cos^2a\right)-sin^2a=cos^2a\)
b.
\(sina-sina.cos^2a=sina\left(1-cos^2a\right)=sina\left(sin^2a+cos^2a-cos^2a\right)\)
\(=sina.sin^2a=sin^3a\)
c.
\(\left(1-cosa\right)\left(1+cosa\right)=1-cos^2a=sin^2a+cos^2a-cos^2a=sin^2a\)