document.write( "Question 752009: given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos theta/2 \n" ); document.write( "
Algebra.Com's Answer #457532 by lwsshak3(11628)\"\" \"About 
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given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos theta/2
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\n" ); document.write( "\"cos%28x%2F2%29=sqrt%28%281%2Bcos%28x%29%29%2F2%29\"
\n" ); document.write( "\"sin%28x%29=-sqrt%287%29%2F4\"
\n" ); document.write( "\"cos%28x%29=sqrt%281-sin%5E2%28x%29%29=sqrt%281-7%2F16%29=sqrt%289%2F16%29=3%2F4\"
\n" ); document.write( " ( in Q3 where cos<0)
\n" ); document.write( "..
\n" ); document.write( "Check with calculator:
\n" ); document.write( "sinx=-√7/4 (in Q4)
\n" ); document.write( "x=318.49º
\n" ); document.write( "x/2=159.30º (in Q3)
\n" ); document.write( "cos(x/2)=cos(159.30º)≈-0.9354..
\n" ); document.write( "Exact value=-√(7/8)≈-0.9354..
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