Find the simplified form of ![cos^{-1} \bigg(\frac{3}{5} cos \ x+\frac{4}{5} sin \ x \bigg ), where \ x\ \epsilon \bigg[\frac{-3\pi}{4},\frac{\pi}{4}\bigg]](https://tex.z-dn.net/?f=+cos%5E%7B-1%7D+%5Cbigg%28%5Cfrac%7B3%7D%7B5%7D+cos+%5C+x%2B%5Cfrac%7B4%7D%7B5%7D+sin+%5C+x+%5Cbigg+%29%2C+where+%5C+x%5C+%5Cepsilon+%5Cbigg%5B%5Cfrac%7B-3%5Cpi%7D%7B4%7D%2C%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cbigg%5D+ "cos^{-1} \bigg(\frac{3}{5} cos \ x+\frac{4}{5} sin \ x \bigg ), where \ x\ \epsilon \bigg[\frac{-3\pi}{4},\frac{\pi}{4}\bigg]")
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