document.write( "Question 440920: Find the exact value of tan 345 \n" ); document.write( "

Algebra.Com's Answer #305673 by lwsshak3(11628) $\"\"$ $\"About$

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Find the exact value of tan 345
\n" ); document.write( "Use adddition formula for tan
\n" ); document.write( "tan(345)=tan(300+45)=(tan300+tan45)/(1-tan300*tan45)
\n" ); document.write( "Reference angle for tan 300 is 60 deg in quadrant IV where tan is negative
\n" ); document.write( "tan300=-√3
\n" ); document.write( "tan45=1
\n" ); document.write( "tan 345=(-√3+1)/(1+√3*1)=(1-√3)/(1+√3)
\n" ); document.write( "=(1-√3)/(1+√3)*(1-√3)/(1-√3)=(1-√3)^2/1-3=(1-2√3+3)/2=(4-2√3)/2=2-√3
\n" ); document.write( "ans:
\n" ); document.write( "tan345=2-√3 \n" ); document.write( "

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