document.write( "Question 804452: 2x given tanx= 5/3 and sin x>0 \n" ); document.write( "

Algebra.Com's Answer #484816 by lwsshak3(11628) $\"\"$ $\"About$

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solve for 2x given tanx= 5/3 and sin x>0
\n" ); document.write( "x=acute angle
\n" ); document.write( "hypotenuse of reference right triangle=√(5^2+3^2)=√(25+9)=√34
\n" ); document.write( "sinx=5/√34
\n" ); document.write( "cosx=3/√34
\n" ); document.write( "sin2x=2sinxcosx=2*(5/√34)*(3/√34)=30/34=15/17
\n" ); document.write( "2x=1.0808
\n" ); document.write( " \n" ); document.write( "

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