Question 601703
Please help me answer this problem. Use half anglel formulas to find the exact value of the trigonometric function tan-pi/12
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Tan half-angle formula:
Tan(s/2)=sin s/(1+cos s)
For given problem:
tan(-π/12)=tan(-π/6)/2
=sin(-π/6)/(1+cos(-π/6))
=(-1/2)/(1+√3/2)
=-1/(2+√3)