SOLUTION: Please help me solve this equation: {{{tan x=

SOLUTION: Please help me solve this equation: {{{tan x= - sqrt( 3 ) }}}.

Question 781743: Please help me solve this equation: .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
tan x= - sqrt( 3 )
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Draw a 30-60 degree right triangle.
Label the angles so you see where 30 degrees is
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Let the side opposite the 30 degree angle be 1
Then the hypotenuse is 2
And the side opposite the 60 degree angle is sqrt(3)
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Notice that tan(60) = sqrt(3)/1 = sqrt(3)
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So 60 degrees is the reference angle.
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Then x = arctan(-sqrt(3)) is either 180-60 = 120 degrees
or x = arctan(-sqrt(3))is 360-60 = 300 degrees.
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Cheers,
Stan H.
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