Question

What is the angle measure θ in degrees such that cos(θ) = 2/16? Round your answer to the nearest degree.

Answer 1

Answer: 83 degrees

Explanation:

In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:

`cos(x)=(2)/(16) =(1)/(8)`

`arccos(cos(x))=arccos((1)/(8) )=x`

Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:

`x=arccos((1)/(8) )`

`x=83`