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

1 answer

sinØcotØ - sinØcosØ
= sinØcosØ/sinØ - sinØcosØ
= cosØ - sinØcosØ
= cosØ(1-sinØ)

(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