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Musya8 [376]
3 years ago
15

Find all solutions on the interval [0, 2π).

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

t = 0.7227, 2.3005, 3.9827, 5.5605

Step-by-step explanation:

12(1 - cos²t) + cost - 3 - 3 = 0

-12cos²t + cost + 6 = 0

-12cos²t +9cost - 8cost + 6 = 0

-3cost(4cost - 3) - 2(4cost - 3) = 0

(4cost - 3)(-3cost - 2) = 0

cost = ¾ cost = -⅔

t = (cos^-1)(3/4)

t = 0.7227, 5.5605

t = (cos^-1)(-2/3)

t = 2.3005, 3.9827

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