Question

Seca ( 1- Sin Ad Sec At tan A) z 1​

Answer 1

Question :

To prove sec A(1 - sin A)(sec A + tan A) = 1

Proof :

↣ sec A (1 - sin A) (sec A + tan A) = 1

↣ (sec A - sec A. sin A)(sec A + tan A) = 1

↣ (sec A - sin A/cos A)(sec A + tan A) = 1

↣ (sec A - tan A)(sec A + tan A) = 1

↣ sec² A - tan² A = 1

↣ 1 = 1

↣ LHS = RHS

Hence, proved.