The sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only approximate value.
A trigonometric series is convergent to a function f(x) on the interval [0,2π ]which is identically zero or nonzero at most points, then the coefficients of the series are all zero.
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
Thus, approximate value of trigonometric series to four decimal places is 0.5884.
Learn more about trigonometric series.
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