Find the period of the following function
(i) `f(x) =|sinx|+|cosx|`
(ii) `f(x)=cos(cosx)+cos(sinx)`
(iii) `f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)`

Explanation

To find the period of the given functions, we will analyze each function step by step.

### (i) \( f(x) = |\sin x| + |\cos x| \)

1. **Identify the periods of individual components**:
- The period of \( \sin x \) is \( 2\pi \).
- The period of \( \cos x \) is \( 2\pi \).
- However, since we are dealing with the absolute values, we need to consider the effect of the modulus.
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