For any real \( \theta \), the maximum value of \( \cos ^{2}(\cos \theta)+\sin ^{2}(\sin \theta)...
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For any real \( \theta \), the maximum value of \( \cos ^{2}(\cos \theta)+\sin ^{2}(\sin \theta) \) is
(a) 1
(b) \( 1+\sin ^{2} 1 \)
(c) \( 1+\cos ^{2} 1 \)
(d) does not exist
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