Math11U
posted by Katya on .
Simplify each trigonometric expression
a) Sin(theta)Cot(theta)Sin(theta)Cos(theta)
c)(sin x + cos x)(sin x  cos x)+ 2 cos(squared)x

sinØcotØ  sinØcosØ
= sinØcosØ/sinØ  sinØcosØ
= cosØ  sinØcosØ
= cosØ(1sinØ)
(sin x + cos x)(sin x  cos x)+ 2 cos(squared)x
= sin^2 x  cos^2 x + 2cos^2 x
= sin^2x + cos^2x
= 1