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How can we find the solutions for an equation like 6 cos x = 2 in the interval 0 to 2π?

How can we find the solutions for an equation like 6 cos x = 2 in the interval 0 to 2π?
asked 117k views
5 votes
How can we find the solutions for an equation like 6 cos x = 2 in the interval 0 to 2π?

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User Sachi
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9.0k points

1 Answer

4 votes

Answer:


x=\arccos(1/3), 2\pi-\arccos(1/3)

Explanation:


6\cos x=2 \\ \\ \cos x=1/3 \\ \\ x=\arccos(1/3), 2\pi-\arccos(1/3)

answered
User Vesii
by
8.6k points
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