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

User Knutella
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1 Answer

6 votes

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

User Jackie
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