Tan(π/4+A)tan(π/4-A)=1
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Answered by
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Hi ,
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We know that ,
Tan( A+B)= (tanA+tanB)/(1-tanAtanB)
Tan( π/4 + A ) = ( 1 + tanA)/(1 - tanA )
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Here ,
LHS = tan( π/4+A)tan(π/4-A)
= [(1+tanA)/(1-tanA)][(1-tanA)/(1+tanA)]
After cancellation ,we get
= 1
= RHS
I hope this helps you.
: )
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