Prove. A-1 A+1 =1- A 1+ A - Vidyadip

Question

Prove.$\frac{\sec A-1}{\sec A+1}=\frac{1-\cos A}{1+\cos A}$

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Answer

$\text { LHS }=\frac{\sec A-1}{\sec A+1}=\frac{\frac{1}{\cos A}-1}{\frac{1}{\cos A}+1} $
$ =\frac{1-\cos A}{1+\cos A}=\text { RHS }$

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