Question

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

Answer 1

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.