Question 433277
Angle A = arcsin(1/3)
sin(A) = 1/3
{{{cos(A) = sqrt(1 - (1/3)^2) = sqrt(8/9)}}}
{{{tan(A) = sin(A)/cos(A) = (1/3) / (sqrt(8)/3)}}}
{{{tan(A) = (1/3)*(3/sqrt(8)) = 1/sqrt(8) = sqrt(2)/4}}}
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Use a calculator to check.
arcsin(1/3) =~ 19.47 degs
tan(19.47) = 0.3535533
sqrt(2)/4 = 0.3535533