document.write( "Question 757559: 5 tanx cos^2x -3sin^2x =0 \n" ); document.write( "

Algebra.Com's Answer #461099 by lwsshak3(11628) $\"\"$ $\"About$

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5 tanx cos^2x -3sin^2x =0
\n" ); document.write( " $\"5tan%28x%29cos%5E2%28x%29-3sin%5E2%28x%29=0\"$
\n" ); document.write( " $\"%285sin%28x%29%2Fcos%28x%29%29cos%5E2%28x%29-3sin%5E2%28x%29=0\"$
\n" ); document.write( " $\"5sin%28x%29cos%28x%29-3sin%5E2%28x%29=0\"$
\n" ); document.write( " $\"sin%28x%29%285cos%28x%29-3sin%28x%29%29=0\"$
\n" ); document.write( "sin(x)=0
\n" ); document.write( "x=0
\n" ); document.write( "or
\n" ); document.write( " $\"5cos%28x%29-3sin%28x%29=0\"$
\n" ); document.write( " $\"5sqrt%281-sin%5E2%28x%29%29=3sin%28x%29\"$
\n" ); document.write( " $\"25%281-sin%5E2%28x%29%29=9sin%5E2%28x%29\"$
\n" ); document.write( " $\"25-25sin%5E2%28x%29%29=9sin%5E2%28x%29\"$
\n" ); document.write( " $\"25-34sin%5E2%28x%29%29=0\"$
\n" ); document.write( " $\"sin%5E2%28x%29=25%2F34\"$
\n" ); document.write( "sin(x)=5/√34
\n" ); document.write( "x≈59.04º \n" ); document.write( "

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