If tan(θ)=2\tan(\theta) = 2tan(θ)=2, find the value of sin2(θ)−cos2(θ)\sin^2(\theta) - \cos^2(\theta)sin2(θ)−cos2(θ).
1/51/51/5
2/52/52/5
3/53/53/5
4/54/54/5