Prove the following trigonometric identities.1+cot A+tan A sin A-cos A=sec Acosec2 A-cosec Asec2 A=sin A tan A-cot A cos A

Prove the following trigonometric identities.1+cot A+tan A sin A-cos A

1.	Prove the following trigonometric identities.1+cot A+tan A sin A-cos A=sec Acosec2 A-cosec Asec2 A=sin A tan A-cot A cos A
Answer» Prove the following trigonometric identities. $(1 + \cot A + \tan A) (\sin A - \cos A) = \frac{\sec A}{{cosec}^{2} A} - \frac{cosec A}{\sec^{2} A} = \sin A \tan A - \cot A \cos A$