document.write( "Question 871054: tan (-5pi/12)
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document.write( "Use an Addition or Subtraction Formula to find the exact value of the expression \n" );
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Algebra.Com's Answer #525287 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! tan (-5pi/12) \n" ); document.write( "Use an Addition or Subtraction Formula to find the exact value of the expression. \n" ); document.write( "*** \n" ); document.write( "tan(-5π/12)=tan(4π/12-9π/12)=tan(π/3-3π/4) \n" ); document.write( "Identity: tan(s-t)=(tan s-tan t)/(1+tan s*tan t \n" ); document.write( "tan(π/3-3π/4)=tan(π/3-tan(3π/4))/(1+tan(π/3*tan(3π/4) \n" ); document.write( "=(√3+1))/(1+(√3*-1) \n" ); document.write( "=(√3+1))/(1-√3) \n" ); document.write( "=(√3+1))/(1-√3) \n" ); document.write( "Calculator check: \n" ); document.write( "tan(-5π/12)≈-3.732… \n" ); document.write( "Exact value=(√3+1))/(1-√3)≈-3.732… \n" ); document.write( " |