Question

determine even or odd function of f(x)=sin x + cos x​

Answer 1

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$Since −sin(x)cos(x) \\ - sin ( x ) cos ( x ) ≠ \\ ≠ sin(x)cos(x) sin ( x ) cos ( x ) , \\ the function is \: not even. \\ A function is odd if  \\ f(−x)=−f(x) f ( - x ) = - f ( x ) .$

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Answer 2

Answer:

$Since-sin(x) cos(x) - sin (x) cos ( x ) = sin(x) cos(x) sin ( x) cos ( x ), the function is not even. A function is odd if</p><p></p><p>f(-x) = -f(x) f(-x) = -f(x).$

thanks