document.write( "Question 590645: find exact value of [tan(5pi/4)-tan(pi/12)]/1+tan(5pi/4)tan(pi/12) \n" ); document.write( "
Algebra.Com's Answer #375222 by lwsshak3(11628)\"\" \"About 
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find exact value of [tan(5pi/4)-tan(pi/12)]/1+tan(5pi/4)tan(pi/12)
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\n" ); document.write( "use tan addition identity: tan (s-t)=(tan s-tan t)/(1+tan s tan t)
\n" ); document.write( "For given problem:
\n" ); document.write( "[tan(5pi/4)-tan(pi/12)]/1+tan(5pi/4)tan(pi/12)=tan(5π/4-π/12)
\n" ); document.write( "=tan(15π/12-π/12)=tan(14π/12)
\n" ); document.write( "=tan(7π/6) (ans)
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