document.write( "Question 903351: Find sinx and cosx if tanx=3/4 and sin is greater than 0. Use the Pythagorean identities rather than reference triangles. \n" ); document.write( "
Algebra.Com's Answer #547944 by mananth(16946)\"\" \"About 
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tan x = 3/4\r
\n" ); document.write( "\n" ); document.write( "tanx = rise/run = 3/4\r
\n" ); document.write( "\n" ); document.write( "rise=3k
\n" ); document.write( "run=4k\r
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\n" ); document.write( "\n" ); document.write( "hypotenuse r = sqrt(3k)^2+(4k)^2)\r
\n" ); document.write( "\n" ); document.write( "r= sqrt((3k)^2+(4k)^2)\r
\n" ); document.write( "\n" ); document.write( "r=sqrt(9k^2+16k^2)\r
\n" ); document.write( "\n" ); document.write( "=sqrt(25k^2)\r
\n" ); document.write( "\n" ); document.write( "=5k\r
\n" ); document.write( "\n" ); document.write( "sin x = 3k/5k = 3/5\r
\n" ); document.write( "\n" ); document.write( "cos x = 4k/5k = 4/5
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