Respuesta :

antek
So you maybe know that [tex]\csc x = \frac{1}{\sin x}[/tex]. Now let us try to simplify the expression

[tex]\csc x - \sin x = \frac{1}{\sin x} - \sin x = \frac{1}{\sin x} - \frac{\sin^2 x }{\sin x}=\frac{1-\sin^2 x}{\sin x} = [/tex]

[tex]= \frac{\cos^2 x}{\sin x} = \cot x \cdot \cos x[/tex]

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