Question

How do I simplify this expression? Sin²(-x)-Sin(-x)/1-Sin(-x)

Answer 1

`(sin²(-x)-sin(-x))/(1-sin(-x))=sinx`

Explanation:

As `sin(-x)=-sinx`

`(sin²(-x)-sin(-x))/(1-sin(-x))`

= `((-sinx)^2-(-sinx))/(1-(-sinx))`

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

= `(sinx(sinx+1))/(1+sinx)`

= `sinx`