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If tanθ = tan30° .tan60° and θ is an acute angle, then 2θ is equal to?

If tanθ = tan30° .tan60° and θ is an acute angle, then 2θ is equal to? Correct Answer 90°

$$\eqalign{ & {\text{tan}}\theta = {\text{tan}}{30^ \circ }.{\text{tan}}{60^ \circ } \cr & {\text{tan}}\theta = \frac{1}{{\sqrt 3 }}.\sqrt 3 \cr & {\text{tan}}\theta = 1 \cr & {\text{tan}}\theta = {\text{tan}}{45^ \circ } \cr & \theta = {45^ \circ } \cr & \therefore 2\theta = {90^ \circ } \cr} $$

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