Quantitative Aptitude Trigonometry Circular Measure of Angles

If 3 tan θ = 2√3 sin θ, 0° < θ < 90°, then find the value of 2 sin2 2θ - 3 cos2 3θ. 

1
\(\rm \frac{3}{2}\)
2
\(\rm \frac{1}{2}\)
3
\(\rm -\frac{3}{2}\)
4
1

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