The value of A such that cos A = 0.7715 is 39.5 degrees
The equation is given as:
cos A = 0.7715
Where the angle is in degrees
There are several ways to solve this equation, some of which include:
In this case, we make use of the first option; using a scientific calculator
Recall that the equation is represented as:
cos A = 0.7715
Next, we take the arccos (or anti cosine) of the above equation.
This is represented as
arccos(cos A) = arccos(0.7715)
Evaluate the expression on the left-hand side
A = arccos(0.7715)
Evaluate the expression on the left-hand side using the scientific calculator
A = 39.5112207183
Approximate the above expression
A = 39.5
Hence, the value of A such that cos A = 0.7715 is 39.5 degrees
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