document.write( "Question 1004951: Evaluate tan(45-30) \n" ); document.write( "

Algebra.Com's Answer #621477 by Alan3354(69443) $\"\"$ $\"About$

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Evaluate tan(45-30)
\n" ); document.write( "--------
\n" ); document.write( "tan(A-B) = (tan(A) - tan(B))/(1 + tan(A)*tan(B))
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\n" ); document.write( "tan(45-30) = (1 - sqrt(3)/3)/(1 + 1*sqrt(3)/3)
\n" ); document.write( "= (3 - sqrt(3))/(3 + sqrt(3))
\n" ); document.write( "= (3 - sqrt(3))^2/6
\n" ); document.write( "= (9 - 6sqrt(3) + 3)/6
\n" ); document.write( "= 2 - sqrt(3)
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