What is the value of sin((7pi)/5) ?

The value of sin((7pi)/5) is -(sqrt(2)sqrt(5+\sqrt{5)})/4

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sin((7pi)/5)

sin (\frac{7 π}{5})

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

Solution steps

sin (\frac{7 π}{5})

Rewrite using trig identities:

cos (\frac{9 π}{10})

= cos (\frac{9 π}{10})

Rewrite using trig identities:

- cos (\frac{π}{10})

= - cos (\frac{π}{10})

Rewrite using trig identities:

cos (\frac{π}{10}) = \frac{2 5 + 5}{4}

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

sin (4 5^{\circ}) 0

\frac{4.5}{sin ( 1 7 ^{\circ} )}

2 sin (2 (\frac{π}{2}))

cos (2 arctan (\frac{12}{5}))

sin (- \frac{3}{2} π)

What is the value of sin((7pi)/5) ?
The value of sin((7pi)/5) is -(sqrt(2)sqrt(5+\sqrt{5)})/4