(1+ tan ^2 A) (1+sin A) (1- sin A) = 1
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1+tan^2A=sec^2A=1/cos^2A ―(1)
(1+sin A)(1-sin A)=1-sin^2 A=cos^2A ―(2)
so,
from (1) & (2)
1/cos^2 A × cos^2 A = 1
(1+sin A)(1-sin A)=1-sin^2 A=cos^2A ―(2)
so,
from (1) & (2)
1/cos^2 A × cos^2 A = 1
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