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- 1 - cos(t) + 2 sin(t) = 0 x = tan(t / 2).

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Maartiin20
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- 1 - cos(t) + 2 sin(t) = 0 x = tan(t / 2).

Sin(t) = (2 x) / (x ^ 2 + 1)

cos(t) = (1 - x ^ 2) / (x ^ 2 + 1) : - 1 + 1 / ( - 1 - x ^ 2) + (4 x) / (x ^ 2 + 1) + x ^ 2 / (x ^ 2 + 1) = 0 - 1 + 1 / ( - 1 - x ^ 2) + (4 x) / (x ^ 2 + 1) + x ^ 2 / (x ^ 2 + 1) x ^ 2 + 1 :

(2 (2 x - 1)) / (x ^ 2 + 1) = 0

(2 x - 1) / (x ^ 2 + 1) = 0

2 x - 1 = 0

2 x = 1

x = 1 / 2

tan(t / 2) = 1 / 2 t = 2 tan ^ ( - 1)(1 / 2) + 2 * pi * n.