Find the Exact Value arccos(8/10)

Problem

arccos(8/10)

Solution

1. Simplify the fraction inside the inverse trigonometric function by dividing both the numerator and the denominator by their greatest common divisor, which is 2

8/10=4/5

2. Rewrite the expression using the simplified value.

arccos(4/5)

3. Identify if the value is a standard angle from the unit circle. Since 4/5 is not a standard value (like 0 1/2 √(,2)/2 √(,3)/2 or 1, the exact value is expressed in its inverse trigonometric form.

Final Answer

arccos(8/10)=arccos(4/5)

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