How do you find the solution to $15tantheta-7=5tantheta-3$ if $0<=theta<2pi$ ?

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Answer 1 · 2017-12-11T23:14:28

See below.

$15tantheta-7=5tantheta-3$

$15tantheta-5tantheta-7+3=0$

$10tantheta-4=0$

$tantheta =4/10=2/5$

$arctan(2/5)=>theta=0.3805$ ( First quadrant )

$theta=0.3805+pi=3.5221$ ( Third quadrant )

How do you find the solution to 15tantheta-7=5tantheta-315tantheta-7=5tantheta-3 if 0<=theta<2pi0<=theta<2pi?