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anygoal [31]
2 years ago
10

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

Mathematics
1 answer:
Marina86 [1]2 years ago
8 0

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

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