How do you graph y= (cosx)/x?

1 Answer
Jun 10, 2018

there's no direct approach (as far as I know)

Explanation:

we have cosx1/x
plot cosx graph{cosx [-10, 10, -5, 5]}
now plot1/x
graph{1/x [-10, 10, -5, 5]}

cosx/x is hybrid of both
notice cosx 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 sinx/x
graph{sinx/x [-12.66, 12.65, -6.33, 6.33]}
it looks different because sinx and 1/x are both odd(graph is symmetrical) because resultant function becomes even