document.write( "Question 732705: If cot theta = -3/4 and cos theta > 0, find sin theta.\r
\n" ); document.write( "\n" ); document.write( "1) -4/5
\n" ); document.write( "2) -3/5
\n" ); document.write( "3) 3/5
\n" ); document.write( "4) 4/5\r
\n" ); document.write( "\n" ); document.write( "Please show work so I can understand how to do this thank you \n" ); document.write( "

Algebra.Com's Answer #448010 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"cot%28theta%29=cos%28theta%29%2Fsin%28theta%29\"$
\n" ); document.write( "Let's find $\"x=sin%28theta%29\"$
\n" ); document.write( "If $\"x=sin%28theta%29\"$ then $\"cos%28theta%29=sqrt%281-x%5E2%29\"$ and
\n" ); document.write( " $\"cot%28theta%29=sqrt%281-x%5E2%29%2Fx\"$ so $\"sqrt%281-x%5E2%29%2Fx=-3%2F4\"$
\n" ); document.write( "and squaring both sides we get $\"%281-x%5E2%29%2Fx=%28-3%2F4%29%5E2\"$ --> $\"%281-x%5E2%29%2Fx=9%2F16\"$
\n" ); document.write( " $\"%281-x%5E2%29%2Fx%5E2=9%2F16\"$ --> $\"1%2Fx%5E2-1=9%2F16\"$ --> $\"1%2Fx%5E2=1%2B9%2F16\"$ --> $\"1%2Fx%5E2=25%2F16\"$ --> $\"x%5E2=16%2F25\"$ --> $\"x=-4%2F5\"$ or $\"x=4%2F5\"$
\n" ); document.write( "But since $\"cos%28theta%29%3E0\"$ and $\"cot%28theta%29=cos%28theta%29%2Fsin%28theta%29=-3%2F4%3C0\"$
\n" ); document.write( " $\"sin%28theta%29%3C0\"$ so $\"x=highlight%28sin%28theta%29=-4%2F5%29\"$ \n" ); document.write( "

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