If tan θ = tan 30° . tan 60° and q is an acute angle,

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If tan θ = tan 30° . tan 60° and q is an acute angle, then 2θ is equal to

1. 30°
2. 45°
3. 90°
4. 0°

Correct Option: C

tanθ = tan30° . tan 60°

⇒ tanθ =	1	× √3 = 1
	√3

⇒ tanθ = tan45°
⇒ θ = 45°
∴ 2θ = 2 × 45° = 90°