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

The value of sin(2*(2pi)/3) is -(sqrt(3))/2

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sin(2*(2pi)/3)

sin (2 \cdot \frac{2 π}{3})

- \frac{3}{2}

Solution steps

sin (2 \cdot \frac{2 π}{3})

Rewrite using trig identities:

2 sin (\frac{2 π}{3}) cos (\frac{2 π}{3})

= 2 sin (\frac{2 π}{3}) cos (\frac{2 π}{3})

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

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

Simplify

2 \cdot \frac{3}{2} (- \frac{1}{2}) : - \frac{3}{2}

= - \frac{3}{2}

arctan (4)

sinh (8)

\frac{sin ( 4 π )}{2}

5.1 cos (14 5^{\circ})

48 cos (3 0^{\circ})

What is the value of sin(2*(2pi)/3) ?
The value of sin(2*(2pi)/3) is -(sqrt(3))/2