Simplify the expression as much as possible Cos2t 1sint So

Simplify the expression as much as possible. Cos^2(t) - 1/sin(t) =

Solution

we know that cos²(t)+sin²(t)=1

so we have cos²(t) = 1-sin²(t)

now we have to simplify the expression cos²(t)-1/ sin(t)

cos²(t)-1 / sin(t) = (1-sin²(t)-1) / sin(t)

                       = -sin²(t) / sin(t)

                       = -sin(t)