Question

Which expression is equivalent to: sin^2 x -sin x-2/sin x-2?

a)sin x+1
b)sin x-1
c)sin^2x
d)-sin^2x

Could anyone explain to me how to do this?

Answer 1

sin^2 x -sin x-2/(sin x-2)
sin^2 x -2sin x +sinx -2/(sin x-2)
sinx(sinx -2) +1(sinx -2)/(sinx-2)
=(sinx-2)(sinx+1)/(sinx-2)
=sinx +1

Answer 2

is the last term (sin(x-2))/(sin(x-2)) ?

Answer 3

Thank you so much!! @matricked

Answer 4

yw