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''#