What is the value of 4tan(pi/6)+2cot(pi/3) ?

The value of 4tan(pi/6)+2cot(pi/3) is 2sqrt(3)

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4tan(pi/6)+2cot(pi/3)

4 tan (\frac{π}{6}) + 2 cot (\frac{π}{3})

23

Solution steps

4 tan (\frac{π}{6}) + 2 cot (\frac{π}{3})

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

Use the following trivial identity:

cot (\frac{π}{3}) = \frac{3}{3}

= 4 \cdot \frac{3}{3} + 2 \cdot \frac{3}{3}

Simplify

4 \cdot \frac{3}{3} + 2 \cdot \frac{3}{3} : 23

= 23

arccot (- 3.5)

6 sin (1 5^{\circ})

11 cos (6 0^{\circ})

arcsin (\frac{9}{8})

\frac{26}{sin ( 6 4 ^{\circ} )}

What is the value of 4tan(pi/6)+2cot(pi/3) ?
The value of 4tan(pi/6)+2cot(pi/3) is 2sqrt(3)