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natulia [17]
3 years ago
12

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

English
1 answer:
nordsb [41]3 years ago
6 0

Answer:

\frac{tanA}{1+secA} = tan (\frac{A}{2} )

Explanation:

Given    

                     =      \frac{tanA}{1+secA}

                        = \frac{\frac{sinA}{cosA} }{\frac{1+cosA}{cosA}  }            

                           = \frac{sinA}{1+cosA} = \frac{2sin\frac{A}{2} cos\frac{A}{2}  }{2cos^{2} \frac{A}{2} }

                           = tan\frac{A}{2}

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