Respuesta :

csc x = 1 / sin x  and cot x = cos x/ sin x ;
sin x * ( csc x - cot x * cos x ) =
= sin x * ( 1/sin x - cos x / sin x * cos x ) =
= sin x * ( ( 1 - cos² x ) / sin x ) =
= sin x * ( sin² x / sin x ) =
= sin x * sin x = sin² x   ( answer)

Answer:

Sin^2x

Step-by-step explanation:

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