What is the value of `cos^(-1)(cos(2pi)/3)+sin^(-1)(sin(2pi)/3)` ?

Explanation

To solve the problem \( \cos^{-1}(\cos(2\pi/3)) + \sin^{-1}(\sin(2\pi/3)) \), we can follow these steps:

### Step 1: Evaluate \( \cos(2\pi/3) \)
The angle \( 2\pi/3 \) is in the second quadrant where the cosine is negative. We can find the cosine value using the reference angle:
\[ \cos(2\pi/3) = -\cos(\pi/3) = -\frac{1}{2} \]

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