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Solve the equation in the interval from 0 to 2π. Round to the nearest hundredth. 7cos(2t) = 3

User Pumkin
by
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1 Answer

3 votes

Answer:

Explanation:

7cos(2t) = 3

cos(2t) = 3/7

2t =
cos^(-1)(3/7)

Now, since cos is
(adjacent)/(hypotenuse), in the interval of 0 - 2pi, there are two possible solutions. If drawn as a circle in a coordinate plane, the two solutions can be found in the first and fourth quadrants.

2t= 1.127

t= 0.56 radians or 5.71 radians

The second solution can simply be derived from 2pi - (your first solution) in this case.

User Koyaanisqatsi
by
8.1k points
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