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Question

Determine the nature of the following functions for even and odd
$f (x) = sin x + cos x$

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Solution

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Given, $f (x) = sin x + cos x$
$f (- x) = sin (- x) + cos (- x) = - sin x + cos x$
$∴ f (x) \neq f (- x)$ Hence nither even nor odd.

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