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How do you simplify #( 1+ tanx) /( 1- tanx)#?

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May 19, 2016

Answer:

#(1+tanx)/(1-tanx)=tan(x+pi/4)#

Explanation:

We know that #tan(A+B)=(tanA+tanB)/(1-tanAtanB)# and #tan(pi/4)=1#

Hence #(1+tanx)/(1-tanx)#

= #(tan(pi/4)+tanx)/(1-tan(pi/4)tanx#, as #tan(pi/4)=1#

= #tan(x+pi/4)#

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