You can put this solution on YOUR website! Solve the equation on the interval 0 < theta < 2pi
cot 2theta/3 = -sqrt3
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using x in place of theta
cot(2x/3)=-√3
2x/3=5π/6 and 11π/6 (reference angles of π/6 in quadrants II and IV where cot<0)
2x/3=5π/6
2x=15π/6
x=15π/12=5π/4
and
2x/3=11π/6
2x=33π/6
x=33π/12=11π/4
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