You can put this solution on YOUR website! find the exact value of cot (13π/3)and show the steps
tan half-angle formula:
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26π/3=2π/3 or reference angle of π/3 in quadrant II in which sin>0, cos<0.
sin(26π/3)=sin(π/3)=√3/2
cos(26π/3)=cos(π/3)=-1/2
tan(13π/3)=(√3/2)/(1-1/2)=√3
cot(13π/3)=1/tan(13π/3=1/√3=√3/3
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calculator check:
tan(13π/3)≈1.7320..
Exact value=√3≈1.7320..