Hey guys, my teacher gave me these two problems which have been keeping me up all night:
Prove:
[2tan^-1 (1/3) ]+ [tan^-1(1/7)] = pi/4
and
Find all values of θ:
Tan (π cot θ) = cot (π tan θ)
My classmates and I have been kinda stumped... Any help is much appreciated
Sincerely,
Carlos Jesena
Thanks for the help! For this first problem, I turned it into 2A + B = pi/4 then that becomes tan (2A+B) = 1. Then I expanded the left side and got:
[tan(2A)+tan(B)] / [1-(tan(2A)tan(B))]
Am I on the right track? I was thinking of expanding the tan 2A's into double angle formula....