document.write( "Question 949212: If cos A= 1/5, and angle A terminates in quadrant IV, find cos1/2 A \n" ); document.write( "
Algebra.Com's Answer #579719 by lwsshak3(11628)\"\" \"About 
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If cos A= 1/5, and angle A terminates in quadrant IV, find cos1/2 A
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\n" ); document.write( "half-angle formula:\"+cos%28x%2F2%29=sqrt%28%281%2Bcosx%29%2F2%29\"
\n" ); document.write( "\"+cos%28A%2F2%29=-sqrt%28%281%2B%281%2F5%29%29%2F2%29=-sqrt%28%286%2F5%29%2F2%29\"=-√(6/10)=-√(3/5)
\n" ); document.write( "check:
\n" ); document.write( "cosA=1/5 (Q4)
\n" ); document.write( "A≈281.54˚
\n" ); document.write( "A/2≈140.77˚
\n" ); document.write( "cos(A/2)=cos(140.77)≈-0.7746
\n" ); document.write( "exact value as computed=-√3/5≈-0.7746
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