document.write( "Question 433277: How to get the exact value of tan(sin^(-1) 1/3)?? Please! \n" ); document.write( "

Algebra.Com's Answer #300330 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Angle A = arcsin(1/3)
\n" ); document.write( "sin(A) = 1/3
\n" ); document.write( " $\"cos%28A%29+=+sqrt%281+-+%281%2F3%29%5E2%29+=+sqrt%288%2F9%29\"$
\n" ); document.write( " $\"tan%28A%29+=+sin%28A%29%2Fcos%28A%29+=+%281%2F3%29+%2F+%28sqrt%288%29%2F3%29\"$
\n" ); document.write( " $\"tan%28A%29+=+%281%2F3%29%2A%283%2Fsqrt%288%29%29+=+1%2Fsqrt%288%29+=+sqrt%282%29%2F4\"$
\n" ); document.write( "------------
\n" ); document.write( "Use a calculator to check.
\n" ); document.write( "arcsin(1/3) =~ 19.47 degs
\n" ); document.write( "tan(19.47) = 0.3535533
\n" ); document.write( "sqrt(2)/4 = 0.3535533 \n" ); document.write( "

\n" );