The real roots of the equation `cos^7x+sin^4x=1` in the interval `(-pi,pi)` are __________, ________, and ________

Explanation

To solve the equation \( \cos^7 x + \sin^4 x = 1 \) in the interval \( (-\pi, \pi) \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \cos^7 x + \sin^4 x = 1 \]
We can express \( \sin^4 x \) in terms of \( \cos^2 x \):
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