How to graph y= (cosx)/x?

Trevon Morton

Trevon Morton

Answered question

2023-02-13

How to graph y = cos x x ?

Answer & Explanation

Keegan Herman

Keegan Herman

Beginner2023-02-14Added 6 answers

we have cos x 1 x
plot cos x graph{cosx [-10, 10, -5, 5]}
now plot cos x
graph{1/x [-10, 10, -5, 5]}
cos x x is hybrid of both
notice cos x is an even function and 1/x is an odd function
and resultant function is an odd function
graph{(cosx)/x [-12.66, 12.65, -6.33, 6.33]}
similarly sin x x
graph{sinx/x [-12.66, 12.65, -6.33, 6.33]}
Sinx and 1/x are both odd (the graph is symmetric), so it appears different because the resultant function becomes even.

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