What is the value of sin(0.4*4*pi) ?

The value of sin(0.4*4*pi) is -(sqrt(2)sqrt(5+\sqrt{5)})/4

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sin(0.44pi)

sin (0.4 \cdot 4 \cdot π)

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

Solution steps

sin (0.4 \cdot 4 π)

= sin (\frac{2}{5} \cdot 4 π)

Simplify:

\frac{2}{5} \cdot 4 π = \frac{8 π}{5}

= sin (\frac{8 π}{5})

Rewrite using trig identities:

cos (\frac{11 π}{10})

= cos (\frac{11 π}{10})

Rewrite using trig identities:

- \frac{1 + cos ( \frac{π}{5} )}{2}

= - \frac{1 + cos ( \frac{π}{5} )}{2}

Rewrite using trig identities:

cos (\frac{π}{5}) = \frac{5 + 1}{4}

= - \frac{1 + \frac{5 + 1}{4}}{2}

Simplify

- \frac{1 + \frac{5 + 1}{4}}{2} : - \frac{2 5 + 5}{4}

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

\frac{125}{tan ( 7 )}

7 cos (\frac{3 π}{4}) - 7 cos (\frac{π}{4})

\frac{( 7.01 ) ^{2} \cdot sin ( 2 \cdot 35 )}{15.39}

tan (arccsc (- 5))

10 cos (2 π)

What is the value of sin(0.4*4*pi) ?
The value of sin(0.4*4*pi) is -(sqrt(2)sqrt(5+\sqrt{5)})/4