document.write( "Question 645341: HELLO\r
\n" ); document.write( "\n" ); document.write( "I am having troubles with the following:\r
\n" ); document.write( "\n" ); document.write( "if cos(theta) = -1/3 and theta is in quadrant 3. Evaluate sin2(theta)\r
\n" ); document.write( "\n" ); document.write( "I do not know where to start.\r
\n" ); document.write( "\n" ); document.write( "thank you much.
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Algebra.Com's Answer #405436 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
if cos(theta) = -1/3 and theta is in quadrant 3. Evaluate sin2(theta)
\n" ); document.write( "use x for theta\r
\n" ); document.write( "\n" ); document.write( "given cosx=-1/3=adj side/hypotenuse
\n" ); document.write( "opp side =-√[(hypotenuse^2)-(adj side^2)]=-√(9-1)=-√8
\n" ); document.write( "sinx=-√8/3
\n" ); document.write( "sin(2x)=2sinxcosx=2*-√8/3*-1/3=2√8/9=4√2/9
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