If xsin60°.tan30° - tan245° = cosec60°.cot30° - sec245° then x = ?

Answer: Option A

$$x\sin 60^{\circ }.\tan 30^{\circ }-{\tan }^{2}45^{\circ }=$$       $$\mathrm{cosec}60^{\circ }.$$   $$\cot 30^{\circ }-$$   $${\sec }^{2}45^{\circ }$$
$$\begin{array}{rl}& \Rightarrow x\times \frac{\sqrt{3}}{2}\times \frac{1}{\sqrt{3}}-1=\frac{2}{\sqrt{3}}\times \sqrt{3}-{\left(\sqrt{2}\right)}^2\\ & \Rightarrow \frac{x}{2}-1=2-2\\ & \Rightarrow \frac{x}{2}-1=0\\ & \Rightarrow \frac{x}{2}=1\\ & \Rightarrow x=2\end{array}$$