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

The value of sin((2pi)/3)cos((2pi)/3) is -(sqrt(3))/4

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sin((2pi)/3)cos((2pi)/3)

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

- \frac{3}{4}

Solution steps

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}

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

Simplify

\frac{3}{2} (- \frac{1}{2}) : - \frac{3}{4}

= - \frac{3}{4}

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What is the value of sin((2pi)/3)cos((2pi)/3) ?
The value of sin((2pi)/3)cos((2pi)/3) is -(sqrt(3))/4