document.write( "Question 505105: What is the exact value of the tan of -75 \n" ); document.write( "

Algebra.Com's Answer #339877 by lwsshak3(11628) $\"\"$ $\"About$

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What is the exact value of the tan of -75
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\n" ); document.write( "Use tan addition formula:tan(s+t)= (tan s+tan t)/(1-tan s tan t)
\n" ); document.write( "For given problem:
\n" ); document.write( "s=-45º
\n" ); document.write( "t=-30º
\n" ); document.write( "reference angle -75º in quadrant IV
\n" ); document.write( "tan(-75)=tan(-45-30)=(tan -45º+tan -30º)/(1-(tan -45º*tan -30º))
\n" ); document.write( "tan(-45º)=-1
\n" ); document.write( "tan(-30º)=-√3/3
\n" ); document.write( "tan(-75)=(-1-√3/3)/(1-(-1*-√3/3))
\n" ); document.write( "tan(-75)=-(1+√3/3)/(1-√3/3) \n" ); document.write( "

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