What is the value of sin(-(4pi)/5) ?

The value of sin(-(4pi)/5) is -(sqrt(2)sqrt(5-\sqrt{5)})/4

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sin(-(4pi)/5)

sin (- \frac{4 π}{5})

- \frac{2 5 - 5}{4}

Solution steps

sin (- \frac{4 π}{5})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{4 π}{5}) = - sin (\frac{4 π}{5})

= - sin (\frac{4 π}{5})

Rewrite using trig identities:

sin (\frac{4 π}{5}) = \frac{2 5 - 5}{4}

= - \frac{2 5 - 5}{4}

- 5 sin (\frac{3 π}{2})

arcsin (\frac{11.2}{22.1})

arccos (\frac{- 1}{4})

- 7 cos (- \frac{π}{6})

sin (2.7)

What is the value of sin(-(4pi)/5) ?
The value of sin(-(4pi)/5) is -(sqrt(2)sqrt(5-\sqrt{5)})/4