SOLUTION: 2sin 2 theta = root 3

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Question 869994: 2sin 2 theta = root 3

Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
As this program cannot handle Θ, Let Θ = x

This answer assumes you meant 2%2Asin%282x%29=sqrt%283%29 in degrees.
2%2Asin%282x%29=sqrt%283%29
Divide both sides by 2
sin%282x%29=sqrt%283%29%2F2
Find the inverted sine of both sides
2x=arcsin%28sqrt%283%29%2F2%29
Divide both sides by 2
x=%28arcsin%28sqrt%283%29%2F2%29%29%2F2
Use a calculator. Your calculator may show sin-1 instead of arcsin.
x=30

Θ is exactly 30