Cscy-siny=cosy(coty)

asked Jan 26, 2022 37.1k views

2 votes

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1 vote

Explanation:

$\csc y - \sin y = (1)/(\sin y) - \sin y$

$\:\:\:\:\:\:\:\:=(1 - \sin^2y)/(\sin y)$

$\:\:\:\:\:\:\:\:= (\cos^2y)/(\sin y)$

$\:\:\:\:\:\:\:\:=\cos y \left((\cos y)/(\sin y)\right)$

$\:\:\:\:\:\:\:\:= \cos y \cot y$

RubesMN answered Feb 2, 2022

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