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If $A = \cos (\cos x) + \sin (\cos x) .$ Then least and greatest value of A are:

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0 and 2

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−2 and 2

none of the above

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detailed solution

Correct option is C

We have A=coscosx+sincosx = 2coscosxcosπ4+sincosxsinπ4 = 2coscosx−π4Since −1

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If A=coscosx+sincosx.Then least and greatest value of A are:

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If $A = \cos (\cos x) + \sin (\cos x) .$ Then least and greatest value of A are: