document.write( "Question 220645: Find the exact value of tan 15 degrees \n" ); document.write( "
Algebra.Com's Answer #165586 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the exact value of tan 15
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\n" ); document.write( "[tan(15) = tan(60-45)
\n" ); document.write( "= [tan(60)-tan(45)]/[1+tan(60)*tan(45)]
\n" ); document.write( "---
\n" ); document.write( "= [sqrt(3)-1]/[1+sqrt(3)*1]
\n" ); document.write( "Multiply numerator and denominator by 1-sqrt(3) to get:
\n" ); document.write( "---
\n" ); document.write( "= [-(1-sqrt(3))^2]/(1-3)
\n" ); document.write( "---
\n" ); document.write( "= (1-2sqrt(3)+3)/2
\n" ); document.write( "= (4-2sqrt(3)]/2
\n" ); document.write( "= (2-sqrt(3))
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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