Question

Verify the identity.

Answer 1

\[\csc \theta-\sin \theta=\cot \theta \cos \theta\]]

Answer 2

\[\csc \theta-\sin \theta= \frac{ 1 }{ \sin \theta }-\sin \theta \]
\[=\frac{ 1-\sin ^{2}\theta}{ \sin \theta } =\frac{ \cos ^{2}\theta }{ \sin \theta }
=\frac{ \cos \theta }{ \sin \theta}\times \cos \theta=\cot \theta \cos \theta\]

Answer 3

thank you! :)

Answer 4

NP :)