prove that
tan ( π/4 + A) - tan ( π/4 - A) = 2 tanA
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Here's Ur answer,
➡tan (π/4+A)=[(1+tan A)/(1- tan A]
tan(π/4-A)=[(1-tan A)/((1+tan A)]
➡> tan (π/4+A)-tan (π/4-A)
= {(1+ tan A)^2-(1- tan A)^2}/(1-tan ^2 A)
=4 tan A/(1- tan ^2 A)
=2(2 tan A/(1- tan ^2 A)
= 2 tan 2A
Step-by-step explanation:
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