Prove the following identities: (1) $$ \frac{\sin 2 heta}{\cos heta}-\sin heta= an heta \cos heta $$

Question

Prove the following identities: (1) $$ \frac{\sin 2 	heta}{\cos 	heta}-\sin 	heta=	an 	heta \cos 	heta $$

Hobbs Gardner · Accepted Answer

The identity $$ \frac{\sin 2	heta}{\cos 	heta} - \sin 	heta = 	an 	heta \cos 	heta $$ is proven by simplifying both sides to $$ \sin 	heta $$.

Prove the following identities: (1) \( \frac{\sin 2 \theta}{\cos \theta}-\sin \theta=\tan \theta \cos \theta \)