Question

. Find all the angles in the interval 0 to 360 degrees that satisfy the following condition. Round theanswer to the nearest hundredth of a degree.cos(x) = -3/7

Answer 1

Solving the equation we have:

`\begin{gathered} \cos x=-(3)/(7) \\ x=\cos ^(-1)(-(3)/(7)) \\ x=64.62 \end{gathered}`

Since the cosine function has a period of 360, this means that in the given interval, the only angle that will satisfy this condition is 64.62°.