How do you evaluate $cos W = 0.6157$ ?

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Answer 1 · 2016-07-19T12:19:26

<W = 52° or 308°.

You are trying to find an angle which has a cos value of 0.6157.
This process is known as arc-cos and is shown on most calculators as $cos^-1$

With angles from 0° to 360° there will be two angles which have a cos value of 0.6157.

The acute angle is $52°$ .
The other angle is $360°-52° = 308°$

How do you evaluate cos W = 0.6157cos W = 0.6157?