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

Step-by-step explanation:

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

$cos(x)=\frac{2}{16} =\frac{1}{8}$

$arccos(cos(x))=arccos(\frac{1}{8} )=x$

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

$x=arccos(\frac{1}{8} )$

$x=83$