Find the Exact Value arccos(( square root of 3)/2)
Problem
Solution
Identify the definition of the inverse cosine function, where
y=arccos(x) meanscos(y)=x for0≤y≤π Set up the equation to find the angle
y such thatcos(y)=√(,3)/2 Recall the unit circle values for the cosine function in the interval
[0,π] Determine that the angle in the first quadrant whose cosine is
√(,3)/2 is30 orπ/6 radians.
Final Answer
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