document.write( "Question 913871: Find the exact value of csc(-17π / 12) \n" ); document.write( "

Algebra.Com's Answer #555424 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the exact value of csc(-17pi / 12)
\n" ); document.write( " $\"csc%28-17pi%2F12%29=%281%2Fsin%28-17pi%2F12%29%29\"$
\n" ); document.write( "sin(-17pi/12)
\n" ); document.write( "=-sin(17pi/12)
\n" ); document.write( "=-sin(8pi/12+9pi/12)
\n" ); document.write( "=-sin(2pi/3+3pi/4)
\n" ); document.write( "=-sin(120˚+135˚)
\n" ); document.write( "=-(sin120cos135+cos120sin135)
\n" ); document.write( "=-(√3/2*-√2/2+(-1/2)(√2/2)
\n" ); document.write( "=-(-√6/4+(-√2/4)=(√6+√2)/4
\n" ); document.write( "sin(-17pi/12)=(√6+√2)/4
\n" ); document.write( "csc(-17pi/12)=4/(√6+√2)
\n" ); document.write( "Check:(using sin)
\n" ); document.write( "sin(-17pi/12)≈0.9659
\n" ); document.write( "exact value=(√6+√2)/4≈0.9659 \n" ); document.write( "

\n" );