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How do I find all solutions to:

tanx+3cotx=4?

The answer choices are:
a.) x=arctan3+nPi
b.) x=arccot3+nPi

2 answers

actually there are other answers ...

tanx + 3cotx = 4
tanx + 3/tanx = 4

tan^2x + 3 = 4tanx
tan^2x - 4tanx + 3 = 0
(tanx - 1)(tanx - 3) = 0

x = arctan 1 + npi or x = arctan3 + npi
Thanks! :D
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