Find the exact value of cos−1cos5π3.Write your answer in radians in terms of π. Undefined
Question
Find the exact value of cos−1cos5π3.Write your answer in radians in terms of π. Undefined
Solution
First, we need to find the value of cos(5π/3).
The cosine function has a period of 2π, so cos(5π/3) is the same as cos(π/3) because 5π/3 - 2π = π/3.
The value of cos(π/3) is 1/2.
Next, we need to find the angle whose cosine is 1/2.
The angle whose cosine is 1/2 is π/3.
Therefore, cos−1(cos(5π/3)) = π/3.
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