document.write( "Question 751757: Given cosA = -1/4 and 90 degrees < A < 180 degrees, find tanA in surd form. \n" ); document.write( "
Algebra.Com's Answer #457541 by lwsshak3(11628)\"\" \"About 
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Given cosA = -1/4 and 90 degrees < A < 180 degrees, find tanA in surd form
\n" ); document.write( "sec(A)=1/cos(A)=-4
\n" ); document.write( "\"tan%28A%29=-sqrt%28sec%5E2%28A%29-1%29=-sqrt%2816-1%29=-sqrt%2815%29\" (in Q2 where tan<0)
\n" ); document.write( "..
\n" ); document.write( "Check with calculator:
\n" ); document.write( "cos(A)=-1/4
\n" ); document.write( "A≈104.4775º
\n" ); document.write( "tan(A)=tan(104.4775º)≈-3.873..
\n" ); document.write( "Exact value=-√15≈-3.873..
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