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

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Answer 1 · 2018-03-20T16:30:05

#(sin²(-x)-sin(-x))/(1-sin(-x))=sinx#

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#