document.write( "Question 855428: let theta be angle in quadrant II such that sec(theta)=-10/7. Find the exact values of cot(theta) and sin(theta) \n" ); document.write( "
Algebra.Com's Answer #515348 by lwsshak3(11628)\"\" \"About 
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let theta be angle in quadrant II such that sec(theta)=-10/7. Find the exact values of cot(theta) and sin(theta)
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\n" ); document.write( "use x for theta
\n" ); document.write( "secx=-10/7
\n" ); document.write( "cosx=-7/10
\n" ); document.write( "sinx=√(1-cos^2x)=√(1-49/100)=√(51/100)=√51/10
\n" ); document.write( "cotx=cosx/sinx=-7/√51=-7√51/51
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\n" ); document.write( "calculator check:
\n" ); document.write( "cosx=-7/10
\n" ); document.write( "x≈134.43˚
\n" ); document.write( "..
\n" ); document.write( "sinx=sin(134.43)≈0.7141
\n" ); document.write( "exact value=√51/10≈0.7141
\n" ); document.write( "..
\n" ); document.write( "cotx=cot(134.43)=-0.9803
\n" ); document.write( "exact value=-7√51/51≈0.9802
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