The value of \( \left(\cos ^{4} 1^{\circ}+\cos ^{4} 2^{\circ}+\cos ^{4} 3^{\circ}+\ldots+\cos ^{...

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The value of
\( \left(\cos ^{4} 1^{\circ}+\cos ^{4} 2^{\circ}+\cos ^{4} 3^{\circ}+\ldots+\cos ^{4} 179^{\circ}\right)- \)
\( \left(\sin ^{4} 1^{\circ}+\sin ^{4} 2^{\circ}+\sin ^{4} 3^{\circ}+\ldots+\sin ^{4} 179^{\circ}\right) \) equals to
(a) \( 2 \cos 1^{\circ} \)
(b) \( -1 \)
(c) \( 2 \sin 1^{\circ} \)
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