document.write( "Question 828431: find the exact value of cot (13π/3)and show the steps \n" ); document.write( "

Algebra.Com's Answer #499333 by lwsshak3(11628) $\"\"$ $\"About$

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find the exact value of cot (13π/3)and show the steps
\n" ); document.write( " $\"cot%2813pi%2F3%29=1%2Ftan%2813pi%2F3%29\"$
\n" ); document.write( "tan half-angle formula: $\"tan%28s%2F2%29=sin%28s%29%2F%281%2Bcos%28s%29%29\"$
\n" ); document.write( "..
\n" ); document.write( " $\"tan%2813pi%2F3%29=tan%2826pi%2F3%29%2F2=sin%2826pi%2F3%29%2F%281%2Bcos%2826pi%2F3%29%29\"$
\n" ); document.write( "26π/3=2π/3 or reference angle of π/3 in quadrant II in which sin>0, cos<0.
\n" ); document.write( "sin(26π/3)=sin(π/3)=√3/2
\n" ); document.write( "cos(26π/3)=cos(π/3)=-1/2
\n" ); document.write( "tan(13π/3)=(√3/2)/(1-1/2)=√3
\n" ); document.write( "cot(13π/3)=1/tan(13π/3=1/√3=√3/3
\n" ); document.write( "..
\n" ); document.write( "calculator check:
\n" ); document.write( "tan(13π/3)≈1.7320..
\n" ); document.write( "Exact value=√3≈1.7320.. \n" ); document.write( "

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