If θ lies in the first quadrant and cos2θ - sin2θ = 1/2 , then the value of tan22θ + sin23θ is:

Answer: Option D

cos²θ - sin²θ = $$\frac{1}{2}$$
cos2θ = $$\frac{1}{2}$$
cos2θ = cos60°
2θ = 60°
θ = 30
tan²2θ + sin²3θ
= tan²60° + sin²90°
= 3 + 1
= 4