\[\large{\int_{0}^{\frac{\pi}{2}} \cos^n (\theta) \, d\theta}\]

Find the value of the definite integral above, given that \(n\) is an **even** positive integer. \[\]

**Notation**: \( \dbinom MN \) denotes the binomial coefficient, \( \dbinom MN = \dfrac{M!}{N!(M-N)!} \).

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