document.write( "Question 683501: Find the general solutions to the equation \"csc%5E2theta%2B6csc%28theta%29%2B5=0\". List all solutions on the interval [0,4pi] \n" ); document.write( "
Algebra.Com's Answer #423603 by lwsshak3(11628)\"\" \"About 
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List all solutions on the interval [0,4pi]
\n" ); document.write( "csc^2theta+6csc(theta)+5=0
\n" ); document.write( "\"csc%5E2x%2B6cscx%2B5=0\"
\n" ); document.write( "(cscx+5)(cscx+1)=0
\n" ); document.write( "cscx+5=0
\n" ); document.write( "cscx=-5
\n" ); document.write( "sinx=1/cscx=-1/5
\n" ); document.write( "x≈3.343,6.081,9.626,12.635 (in quadrants III and IV where sin<0)
\n" ); document.write( "or
\n" ); document.write( "cscx+1=0
\n" ); document.write( "cscx=-1
\n" ); document.write( "sinx=1/cscx=-1
\n" ); document.write( "x=3π/2 and 7π/2\r
\n" ); document.write( "\n" ); document.write( "
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