Originally Posted by
fran1942 Hello, I am trying to solve this:
tan^2(3x)=1 (for values between 0 and 2pi)
I have broken it down to a 'difference of squares' format:
(tan3x+1) (tan3x-1)
I then find the inverse tan of 1 and -1 which gives me 45 degrees and -45 degrees.
I then divide them by three to give me plus/minus 15.
I understand that is the first part of the answer, however my text book says the complete answer is +-pi/12 + pi/3 K.
I understand the pi/3 K part is for repetition, but that is only repeating it every 60 degrees. Looking at graph of tan I see the repetitions would be every 90 degrees ?
Thanks for any help.