What is the value of 2csc^2(pi/3)cot(pi/3) ?

The value of 2csc^2(pi/3)cot(pi/3) is (8sqrt(3))/9

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2csc^2(pi/3)cot(pi/3)

2 csc^{2} (\frac{π}{3}) cot (\frac{π}{3})

\frac{8 3}{9}

Solution steps

2 csc^{2} (\frac{π}{3}) cot (\frac{π}{3})

Use the following trivial identity:

csc (\frac{π}{3}) = \frac{2 3}{3}

Use the following trivial identity:

cot (\frac{π}{3}) = \frac{3}{3}

= 2 (\frac{2 3}{3})^{2} \frac{3}{3}

Simplify

2 (\frac{2 3}{3})^{2} \frac{3}{3} : \frac{8 3}{9}

= \frac{8 3}{9}

30 sin (4 0^{\circ})

sec (\frac{5}{4})

6 tan (4 0^{\circ})

10 tan (3 0^{\circ})

cos (2) + \frac{ln ( 2 )}{2}

What is the value of 2csc^2(pi/3)cot(pi/3) ?
The value of 2csc^2(pi/3)cot(pi/3) is (8sqrt(3))/9