SOLUTION: solve for all values of theta in the interval 0 degrees less than theta less than 360 degrees: 2tan^3 theta - tan theta = tan^2 theta
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Question 936250: solve for all values of theta in the interval 0 degrees less than theta less than 360 degrees: 2tan^3 theta - tan theta = tan^2 theta Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! solve for all values of theta in the interval 0 degrees less than theta less than 360 degrees: 2tan^3 theta - tan theta = tan^2 theta
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2tan^3(x)-tan(x)=tan^2(x)
divide by tan(x)
2tan^2(x)-1=tan(x)
2tan^2(x)-tan(x)-1=0
(2tan(x)+1)(tan(x)-1)=0
tan(x)=-1/2
x≈153.43˚, 333.43˚
or
tan(x)=1
x=45˚, 225˚
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