document.write( "Question 838565: Find the exact value of sin theta if, theta = tan inverse (2/3) \n" ); document.write( "
Algebra.Com's Answer #505371 by lwsshak3(11628)\"\" \"About 
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Find the exact value of sin theta if, theta = tan inverse (2/3)
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\n" ); document.write( "tan theta=2/3
\n" ); document.write( "hypotenuse 0f working right triangle=√(2^2+3^2)=√(4+9)=√13
\n" ); document.write( "sin theta=2/√13=2√13/13
\n" ); document.write( "check:(w/calculator)
\n" ); document.write( "tan x=2/3
\n" ); document.write( "x≈33.69˚
\n" ); document.write( "sinx=sin33.69˚≈0.5547..
\n" ); document.write( "exact value as calculated=2√13/13≈0.5547 \n" ); document.write( "
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