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Find the total number of solutions of the equation cos⁻¹(cos(x)) = x².

1. 1
2. 2
3. 3
4. 4

Correct answer: 3

Solution

The equation yields x = 0 and x = 1 from the branch on [0, pi], and x = -1 from the branch on [-pi, 0], giving 3 distinct solutions total.

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