If rsinθ = 1, rcosθ = 3 , then the value of r2tanθ is?

Answer: Option C

$$\begin{array}{rl}& r\sin \theta =1,r\cos \theta =\sqrt{3}\\ & \text{Put }\theta =30^{\circ }\\ & r=2\\ & \text{So},r^2\tan \theta \\ & ={\left(2\right)}^2\times \text{tan}30^{\circ }\\ & =4\times \frac{1}{\sqrt{3}}\\ & =\frac{4}{\sqrt{3}}\end{array}$$