document.write( "Question 323906: if sin theta = -5/13 and 3pie/2 < theta < 2pie
\n" ); document.write( "find the exact values of cos theta
\n" ); document.write( "if you could show me the steps as well that would be great thank you =) \n" ); document.write( "

Algebra.Com's Answer #231863 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sin%28theta%29=-5%2F13\"$
\n" ); document.write( "You also know that,
\n" ); document.write( " $\"%28cos%28theta%29%29%5E2%2B%28sin%28theta%29%29%5E2=1\"$
\n" ); document.write( " $\"%28cos%28theta%29%29%5E2%2B%28-5%2F13%29%5E2=1\"$
\n" ); document.write( " $\"%28cos%28theta%29%29%5E2%2B25%2F169=1\"$
\n" ); document.write( " $\"%28cos%28theta%29%29%5E2=1-25%2F169\"$
\n" ); document.write( " $\"%28cos%28theta%29%29%5E2=144%2F169\"$
\n" ); document.write( " $\"cos%28theta%29=0+%2B-+12%2F13\"$
\n" ); document.write( "Now look at the range you're considering,
\n" ); document.write( "( $\"3%2Api%2F2\"$ , $\"2pi\"$ ) or the fourth quadrant.
\n" ); document.write( "In that quadrant, the cosine is positive, the sine is negative.
\n" ); document.write( " $\"cos%28theta%29=12%2F13\"$ \n" ); document.write( "

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