# What are the extrema of #g(x) = cos^2x+sin^2x?# on the interval #[-pi,pi#?

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The extrema of ( g(x) = \cos^2(x) + \sin^2(x) ) on the interval ([- \pi, \pi]) are:

- Minimum: ( g(x) = 0 ) at ( x = -\pi ) and ( x = \pi )
- Maximum: ( g(x) = 1 ) at ( x = 0 )

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