Since, f(x)=cosx is a trigonometric function and we know every trigonometric function is continuous.
⇒ f(x)=cosx is continuous on .
Here, f’(x)=-sinx which exist in .
So, f(x)=cosx is differentiable on .
Conditions of Rolle’s theorem are satisfied.
Hence, there exist at least one such that f’(c)=0
Thus, Rolle’s theorem is satisfied.
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