Question

prove that cos A / 1-sin A + cos A / 1+ sin A = 2 sec A​

Answer 1

Step-by-step explanation:

cos A + cos A = 2 sec A

1- sinA 1+ sin A

LHS:

(1+sinA) cos A + (1- sin A) cos A

(1+sin A)( 1- sin A)

= cosA + sinA cos A+ cos A - sin A cos A

(1²- sin² A)

= 2cos A

cos ²A

= 2

cos A

= 2 sec A = RHS

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