How do you find the solution to $tantheta-4=3tantheta+4$ if $0<=theta<360$ ?

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Answer 1 · 2018-07-10T13:21:01

$theta=104'2", 284'2''$

$tantheta-4=3tantheta+4$

$2tantheta=-8$

$tantheta=-4$

$tantheta$ is negative in the second and fourth quadrant

$theta=75'58"$ if $tantheta$ is positive

Therefore,

$theta=180-75'58", 360-75'58"$

$theta=104'2", 284'2''$

How do you find the solution to tantheta-4=3tantheta+4tantheta-4=3tantheta+4 if 0<=theta<3600<=theta<360?