cookiemonster100 cookiemonster100
  • 04-11-2016
  • Mathematics
contestada

cscθ - sinθ = _____
I need someone to help with my trigonometry please im really confused and not sure what formula to use

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antek
antek antek
  • 04-11-2016
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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