What is the value of sin(pi/9)-sin((2pi)/9)-sin((3pi)/9)+sin((4pi)/9) ?

The value of sin(pi/9)-sin((2pi)/9)-sin((3pi)/9)+sin((4pi)/9) is -0.18198…

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sin(pi/9)-sin((2pi)/9)-sin((3pi)/9)+sin((4pi)/9)

sin (\frac{π}{9}) - sin (\frac{2 π}{9}) - sin (\frac{3 π}{9}) + sin (\frac{4 π}{9})

- 0.18198 \dots

Solution steps

sin (\frac{π}{9}) - sin (\frac{2 π}{9}) - sin (\frac{3 π}{9}) + sin (\frac{4 π}{9})

Refine to a decimal form

= - 0.18198 \dots

44 sin (2 8^{\circ})

- 3 cos (\frac{1}{2} \cdot 0)

sin (π - \frac{π}{3})

sin (2) \cdot sin (3)

\frac{1 0 ^{4} \cdot 1.6 \cdot 0.6}{41} \cdot sin (9 0^{\circ} + arctan (\frac{4}{5}))

What is the value of sin(pi/9)-sin((2pi)/9)-sin((3pi)/9)+sin((4pi)/9) ?
The value of sin(pi/9)-sin((2pi)/9)-sin((3pi)/9)+sin((4pi)/9) is -0.18198…