SOLUTION: Hi I have a question about solving trig equations: The equation 2tan^2x+10 tanx+12 can be factored. It's solutions are tan x=-2 and tan x=-3. How many solutions of tan x=-2 exist

Question 760602: Hi I have a question about solving trig equations:
The equation 2tan^2x+10 tanx+12 can be factored. It's solutions are tan x=-2 and tan x=-3. How many solutions of tan x=-2 exist on the interval 0=x=2pi. This i really Urgent, so thank you in advance
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The equation 2tan^2x+10 tanx+12 can be factored. It's [sic] solutions are tan x=-2 and tan x=-3. How many solutions of tan x=-2 exist on the interval 0=x=2pi.
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2

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The equation 2tan^2x+10 tanx+12 can be factored. It's solutions are tan x=-2 and tan x=-3. How many solutions of tan x=-2 exist on the interval 0=x=2pi. This i really Urgent, so thank you in advance
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If tanx = -2 x is an angle in QII or x is an angle in QIV.
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In QII the answer is tan^-1(-2) = 2.0344 radians
In QIV the answer is tan^-1(-2) = 3.1416 radians
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Cheers,
Stan H.

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