document.write( "Question 579604: What is the exact value of sin 19π/12? \n" ); document.write( "

Algebra.Com's Answer #371094 by lwsshak3(11628) $\"\"$ $\"About$

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What is the exact value of sin 19π/12?
\n" ); document.write( "(19π/12)=(10π/12+9π/12)=(5π/6+3π/4)
\n" ); document.write( "sin(19π/12)=sin(5π/6+3π/4)
\n" ); document.write( "sin addition formula:
\n" ); document.write( "sin(s+t)=sin s cos t + cos s sin t
\n" ); document.write( "s=5π/6
\n" ); document.write( "t=3π/4
\n" ); document.write( "Both angles in quadrant II where sin>0, and cos<0
\n" ); document.write( "sin(19π/12)=sin(5π/6+3π/4)
\n" ); document.write( "sin(19π/12)=sin(5π/6)cos(3π/4)+cos(5π/6)sin(3π/4)
\n" ); document.write( "sin(19π/12)=1/2*-√2/2+-√3/2*√2/2
\n" ); document.write( "sin(19π/12)=-√2/4+-√6/4=-(√2+√6)/4 \n" ); document.write( "

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