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

Algebra.Com's Answer #300331 by katealdridge(100) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sin%5E%28-1%29%281%2F3%29\"$ means that there is a right triangle with the vertical side = 1 and the hypotenuse = 3, because $\"sin%28theta%29=opposite%2Fhypotenuse\"$
\n" ); document.write( "Using the Pythagorean Theorem, you can find the value of the adjacent side.
\n" ); document.write( " $\"x%5E2%2B1%5E2=3%5E2\"$
\n" ); document.write( " $\"x=2sqrt%282%29\"$
\n" ); document.write( "Since $\"tan%28theta%29=opposite%2Fadjacent\"$ then
\n" ); document.write( " $\"tan%28theta%29=1%2F%282sqrt%282%29%29=sqrt%282%29%2F4\"$ \n" ); document.write( "

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