Question

factor and use identities to simplify:

sin(t)xcos^2(t)-sin(t)

Answer 1

this might be easier to read \[\sin \left( t \right)\times \cos ^{2}\left( t \right)-\sin (t)\]

Answer 2

first note that\[\sin^2t+\cos^2t=1\rightarrow \cos^2t-1=-\sin^2t\]we now see that\[\sin(t)\cos^2t-\sin(t)=\sin t(\cos^2t-1)=\sin t(-\sin^2t)=-\sin^3t\]

Answer 3

so you just factored out the sin(t) and cos^2(t)-1 = -sin^2(t)?

Answer 4

yup

Answer 5

ok thanks