Question

Use basic identities and algebra to simplify the expression. Assume all denominators are nonzero. (sin t - cost t)^2

Answer 1

(sint-cost)(sint-cost)=(sint)^2-2sintcost+(cost)^2

Answer 2

but (sint)^2+(cost)^2=1

Answer 3

1-2sintcost

Answer 4

=1-sin(2x)

Answer 5

how did you get the last step?