document.write( "Question 1085100: Please help me chose the correct answer.
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document.write( "Given sin(θ)=(3sqrt(17))/17, use the Pythagorean identity to find all possible values for tan(θ). \r
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document.write( "a) -sqrt(34)/17
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document.write( "b) sqrt(34)/17
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document.write( "c) -(2sqrt(34))/17
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document.write( "d) -(3sqrt(2))/4
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document.write( "e) (3sqrt(2))/4
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document.write( "f) (2sqrt(34))/17
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Algebra.Com's Answer #699137 by Alan3354(69443)![]() ![]() 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( " |