What is the value of 3tan(2/3 pi) ?

The value of 3tan(2/3 pi) is 3tan((2pi)/3)

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3tan(2/3 pi)

3 tan (\frac{2}{3} π)

3 tan (\frac{2 π}{3})

Decimal Notation

- 5.19615 \dots

Solution steps

3 tan (\frac{2}{3} π)

Rewrite as

= tan (2 \cdot \frac{π}{3})

Rewrite using trig identities:

tan (2 \cdot \frac{π}{3}) = \frac{2 tan ( \frac{π}{3} )}{1 - tan ^{2} ( \frac{π}{3} )}

tan (2 \cdot \frac{π}{3})

Use the Double Angle identity:

tan (2 x) = \frac{2 tan ( x )}{1 - tan ^{2} ( x )}

= \frac{2 tan ( \frac{π}{3} )}{1 - tan ^{2} ( \frac{π}{3} )}

= 3 tan (\frac{2}{3} π)

Simplify:

\frac{2}{3} π = \frac{2 π}{3}

\frac{2}{3} π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 π}{3}

= 3 tan (\frac{2 π}{3})

\frac{cos ( 5 )}{1.002}

30 sin (3 2^{\circ})

5 \cdot cos (3 7^{\circ})

arccos (\frac{35}{37})

8 cos (\frac{3 π}{4})