Question

Cscθ - sinθ = _____

I need someone to help with my trigonometry please im really confused and not sure what formula to use

Answer 1

So you maybe know that
`\csc x = (1)/(\sin x)`. Now let us try to simplify the expression


`\csc x - \sin x = (1)/(\sin x) - \sin x = (1)/(\sin x) - (\sin^2 x )/(\sin x)=(1-\sin^2 x)/(\sin x) =`


`= (\cos^2 x)/(\sin x) = \cot x \cdot \cos x`