Question

( sec A – tan A) ²= (1 -sin A ) / ( 1 + sin A )​

Answer 1

Answer:

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Answer 2

Answer:

LHS = RHS

Step-by-step explanation:

LHS = ( sec A - tan A ) ^ 2

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

= [ ( 1 - sin A ) / cos A ] ^ 2

= [ ( 1 - sin A ) ^ 2 / cos ^ 2 A ]

= [ ( 1 - sin A ) ^ 2 / 1 - sin ^ 2 A ]

= [ ( 1 - sin A ) ^ 2 / ( 1 - sin A ) ( 1 + sin A ) ]

= [ ( 1 - sin A ) / ( 1 + sin A ) ]

= RHS