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The equation whose roots are \( n^{\text {th }} \) power of the roots
\( \mathrm{P} \) of the equation, \( x^{2}-2 x \cos \phi+1=0 \) is given by:

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(1) \( (x+\cos \mathrm{n} \phi)^{2}+\sin ^{2} \mathrm{n} \phi=0 \)
(2) \( (x-\cos \mathrm{n} \phi)^{2}+\sin ^{2} \mathrm{n} \phi=0 \)
(3) \( x^{2}+2 x \cos n \phi+1=0 \)
(4) \( x^{2}-2 x \cos n \phi+1=0 \)
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