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mepuppy5000
21.03.2020 •
Mathematics
Find all solutions on the interval [0, 2π).
Look for opportunities to use trigonometric identities. (Enter your answers as a comma-separated list. Round your answers to four decimal places. If an answer does not exist, enter DNE.)
I got t= 0, , but not sure if they're correct
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Ответ:
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
Ответ: