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

Question

This is for my trig class, thanks for the help!

Answer 1

    Tan ( X + π/4)  =

 

 

    Tan X + Tan π/4  

    1 - Tan X Tan π/4

 

 

       Tan X +1

        1 - Tan X

 

 

   Note: using tan of Sum of 2 angles = Tan ( A+ B) = ( Tan A + Tan B) / ( 1 - Tan A TanB)

                                                          and Tan (π/4 ) =1