What is cot-1(2pi/3)?

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What is cot-1(2pi/3)?

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Answer 1 · 2017-12-31T12:16:55

${cot}^{- 1} (\frac{2 π}{3}) \approx 0.445$ $cot^(-1)((2pi)/3) approx 0.445$
or
${(cot (\frac{2 π}{3}))}^{- 1} = - \sqrt{3}$ $(cot((2pi)/3))^(-1) = -sqrt(3)$ ,
depends on the original problem statement.

Explanation:

If this means ${cot}^{- 1} (\frac{2 π}{3})$ $cot^(-1)((2pi)/3)$ then it's unusual to evaluate this since generally you find inverse trig functions of ratios, not angles, and $\frac{2 π}{3}$ $(2pi)/3$ is an angle. A calculator says that ${cot}^{- 1} (\frac{2 π}{3}) \approx 0.445$ $cot^(-1)((2pi)/3) approx 0.445$ .

If the question actually means ${(cot (\frac{2 π}{3}))}^{- 1}$ $(cot((2pi)/3))^(-1)$ then the problem makes a little more sense.

${(cot (\frac{2 π}{3}))}^{- 1} = \frac{1}{cot (\frac{2 π}{3})} = tan (\frac{2 π}{3}) = - \sqrt{3}$ $(cot((2pi)/3))^(-1) = 1/(cot((2pi)/3)) = tan((2pi)/3) = -sqrt(3)$ .

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What is cot-1(2pi/3)?

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