Question 433277
{{{sin^(-1)(1/3)}}} means that there is a right triangle with the vertical side = 1 and the hypotenuse = 3, because {{{sin(theta)=opposite/hypotenuse}}}
Using the Pythagorean Theorem, you can find the value of the adjacent side.
{{{x^2+1^2=3^2}}}
{{{x=2sqrt(2)}}}
Since {{{tan(theta)=opposite/adjacent}}} then
{{{tan(theta)=1/(2sqrt(2))=sqrt(2)/4}}}