prove the following identities
b.tanA/1+secA=tanA/2

Answer:

[tex]\frac{tanA}{1+secA} = tan (\frac{A}{2} )[/tex]

Explanation:

Given    

                     =      [tex]\frac{tanA}{1+secA}[/tex]

                        [tex]= \frac{\frac{sinA}{cosA} }{\frac{1+cosA}{cosA} }[/tex]            

                           = [tex]\frac{sinA}{1+cosA} = \frac{2sin\frac{A}{2} cos\frac{A}{2} }{2cos^{2} \frac{A}{2} }[/tex]

                           [tex]= tan\frac{A}{2}[/tex]

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