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Lorico [155]
4 years ago
5

Cscθ - sinθ = _____

Mathematics
1 answer:
galina1969 [7]4 years ago
4 0
So you maybe know that \csc x = \frac{1}{\sin x}. Now let us try to simplify the expression

\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} =

= \frac{\cos^2 x}{\sin x} = \cot x \cdot \cos x
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