Prove that: : (Sin A - CosA)²/CosA = Sec A - 2 sin A. Created by zaydqazi66.

CosA = Sec A - 2 sin A

July 2023 1 4 Report

Prove that: : (Sin A - CosA)²/CosA = Sec A - 2 sin A

Answer:

Step-by-step explanation:

L.H.S. = ( sin A - cos A )² / cos A

= ( sin² A + cos² A - 2 sin A cos A ) / cos A

= ( 1 - 2 sin A cos A ) / cos A

= ( 1 / cos A ) - ( 2 sin A cos A / cos A )

= sec A - 2 sin A

= R.H.S.

∴ L.H.S. = R.H.S.

Hence , it is proved.