SOLUTION: find the exact value of tangent of the angle 165(degrees)=135(degrees)+30(degrees)

Question 435288: find the exact value of tangent of the angle
165(degrees)=135(degrees)+30(degrees)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the exact value of tangent of the angle
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165(degrees) is in the 2nd Quadrant
Reference angle is 180-165 = 15 degrees
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tan(165) = -tan(15) = -tan(30/2) = -sin(30)/(1+cos(30))
= -(1/2)/(1+sqrt(3)/2) = -(1/2)/(2+sqrt(3))/2
= -1/(2+sqrt(3))
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Cheers,
Stan H.
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