document.write( "Question 1085100: Please help me chose the correct answer.
\n" ); document.write( "Given sin(θ)=(3sqrt(17))/17, use the Pythagorean identity to find all possible values for tan(θ). \r
\n" ); document.write( "\n" ); document.write( "a) -sqrt(34)/17
\n" ); document.write( "b) sqrt(34)/17
\n" ); document.write( "c) -(2sqrt(34))/17
\n" ); document.write( "d) -(3sqrt(2))/4
\n" ); document.write( "e) (3sqrt(2))/4
\n" ); document.write( "f) (2sqrt(34))/17
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #699137 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Given sin(t)=3sqrt(17)/17, use the Pythagorean identity to find all possible values for tan(t).
\n" ); document.write( "-------------
\n" ); document.write( "cos(t) = sqrt(1 - sin^2) = sqrt(1 - 9/17) = 2sqrt(34)/17
\n" ); document.write( "--
\n" ); document.write( "tan = sin/cos
\n" ); document.write( "tan = 3sqrt(17)/(2sqrt(34)) = (3/2)/sqrt(2)
\n" ); document.write( "= 3sqrt(2)/4
\n" ); document.write( "The quadrant wasn't spec'd, so it's plus or minus.\r
\n" ); document.write( "\n" ); document.write( "a) -sqrt(34)/17
\n" ); document.write( "b) sqrt(34)/17
\n" ); document.write( "c) -(2sqrt(34))/17
\n" ); document.write( "d) -(3sqrt(2))/4
\n" ); document.write( "e) (3sqrt(2))/4
\n" ); document.write( "f) (2sqrt(34))/17
\n" ); document.write( "
\n" ); document.write( "
\n" );