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## Homework Statement

tanx + 3cotx = 4

## Homework Equations

## The Attempt at a Solution

Heres my attempt:

tanx + 3/tanx - 4 = 0

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

tan^2x - 4 tanx + 3

(tanx - 3 ) (tanx - 1 ) = 0

tan = 3, tan = 1

im not sure about tan = 3, but for tan = 1 , pi/4 +180n,

is this correct? if it is how would i go about findin solutions for tan=3.

please help,

thanks.