Simplify arccos(1/2)
Problem
Solution
Identify the definition of the inverse cosine function, where
y=arccos(x) meanscos(y)=x fory in the interval[0,π] Set up the equation to find the angle
y such thatcos(y)=1/2 Recall the unit circle values or special right triangles to determine which angle in the first quadrant has a cosine of
1/2 Determine that
cos(π/3)=1/2 which corresponds to60
Final Answer
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