SOLUTION: Find to the nearest degree the solution set of 2tanx=1+3cotx over the domain {0<=x<=360}

Question 860852: Find to the nearest degree the solution set of 2tanx=1+3cotx over the domain {0<=x<=360}
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find to the nearest degree the solution set of 2tanx=1+3cotx over the domain {0<=x<=360}
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LCD:tan(x)

2tan^2x-tanx-3=0
(2tanx-3)(tanx+1)=0
..
2tanx-3=0
tanx=3/2
x=56.3, 236.3 deg (in quadrants I and III in which tan>0)
or
tanx+1=0
tanx=-1
x=135, 315 deg (in quadrants II and IV in which tan<0)
Let me know if my solution is correct, helpful and understandable.
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