document.write( "Question 495687: Find the exact value of the expression:\r
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document.write( "sin (3pi/4) cos (5pi/6) - cos(3pi/4) sin (5pi/6).\r
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document.write( "Thank You \n" );
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Algebra.Com's Answer #336258 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the exact value of the expression: \n" ); document.write( "sin (3pi/4) cos (5pi/6) - cos(3pi/4) sin (5pi/6) \n" ); document.write( "** \n" ); document.write( "Addition formula for sin function: \n" ); document.write( "sin(s-t)=sin s cos t - cos s sin t \n" ); document.write( "For given function: \n" ); document.write( "s=3π/4 \n" ); document.write( "t=5π/6 \n" ); document.write( ".. \n" ); document.write( "sin (3π/4) cos (5π/6) - cos(3π/4) sin (5π/6) \n" ); document.write( "=sin(s-t) \n" ); document.write( "=sin(3π/4-5π/6) \n" ); document.write( "=sin(9π/12-10π/12) \n" ); document.write( "=sin(-π/12)=-0.2588 \n" ); document.write( " |