SOLUTION: How to solve the theta for (1-cos theta)tan theta = 0.2?

Question 1103989: How to solve the theta for (1-cos theta)tan theta = 0.2?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How to solve the theta for (1-cos(t))tan(t) = 0.2?
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tan - sin = 0.2
tan = sin/cos = sin/sqrt(1-sin^2)
sin/sqrt(1-sin^2) - sin = 0.2
sin/sqrt(1-sin^2) = sin + 0.2
sin^2/(1-sin^2) = sin^2 + 0.4sin + 0.04
sin^2 = sin^2 + 0.4sin + 0.04 - sin^4 - 0.4sin^3 - 0.04sin^2
0.4sin + 0.04 - sin^4 - 0.4sin^3 - 0.04sin^2 = 0
sin^4 + 0.4sin^3 + 0.04sin^2 -0.4sin - 0.04 = 0
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I would use graphical or iterative methods and tan - sin = 0.2
theta =~ 0.7020347 radians
=~ 3.2415088 radians

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