Find the Exact Value arccos(0)

Problem

arccos(0)

Solution

1. Identify the definition of the inverse cosine function, where y=arccos(x) means cos(y)=x for y in the interval [0,π]

2. Set up the equation by letting y=arccos(0) which implies cos(y)=0

3. Determine the angle y within the range [0,π] whose cosine value is 0

4. Recall from the unit circle that cos(π/2)=0

Final Answer

arccos(0)=π/2

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