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4x1−x2−2=0 4x\sqrt{1-x^2} -\sqrt2 = 0 4x1−x2−2=0
For x∈[−1,1]x \in [-1,1]x∈[−1,1], the roots of the equation above can be expressed in the form cos(1nπ) \cos\left( \frac 1 n \pi\right) cos(n1π) and sin(1nπ) \sin\left( \frac 1 n \pi\right) sin(n1π), where nnn is a positive integer.
Find the value of nnn.
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