Question

What is the answer?

Answer 1

`\text{Given that,}\\\\\tan x = \frac 3{10}\\\\\text{Now,}\\\\\sin 2x = (2\tan x)/(1+ \tan^2 x)\\\\\\~~~~~~~~=\frac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\frac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\frac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\frac 35 * (100)/(109)\\\\\\~~~~~~~~=(60)/(109)\\\\\\~~~~~~~~=0.5505`