document.write( "Question 461749: What is the exact value of tan ((67 1/2)degrees) using half angle? \n" ); document.write( "
Algebra.Com's Answer #316734 by lwsshak3(11628)\"\" \"About 
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What is the exact value of tan ((67 1/2)degrees) using half angle?
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\n" ); document.write( "Half angle formula for tan:
\n" ); document.write( "tan x/2=sin x/(1+cos x)
\n" ); document.write( "For given problem:
\n" ); document.write( "67.5=135/2=sin 135/(1+cos 135)
\n" ); document.write( "=sin45/(1-cos 45) (Reference angle 45º in quadrant II where sine is positive, cosine negative.)
\n" ); document.write( "=(√2/2)/(1-√2/2)
\n" ); document.write( "=√2/(2-√2) (ans)
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