If xsin60°.tan30° = sec60°.cot45° , then the value of x is?

A. 2

B. $${\text{2}}\sqrt 3 $$

C. 4

D. $${\text{4}}\sqrt 3 $$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & x\sin {60^ \circ }.\tan {30^ \circ } = \sec {60^ \circ }.\cot {45^ \circ } \cr & {\text{Put values }} \cr & \Rightarrow x.\frac{{\sqrt 3 }}{2}.\frac{1}{{\sqrt 3 }} = 2.1 \cr & \Rightarrow \frac{x}{2} = 2 \cr & \Rightarrow x = 4 \cr} $$