How do you determine graphically and analytically whether #y_1=sinxcscx# is equivalent to #y_2=1#?

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Answer 1 · 2017-02-08T15:46:49

See Socratic graph, for sin x / sin x.

graph{sinx/sinx [-10, 10, -5, 5]}

Analytically, f(x)/f(x) has holes at the zeros of f(x).

The holes are 0-space points. How could the graph depict the

holes? The holes have no dimensions.

Here, sans zeros #x = kpi, k = 0, +-1, +-2, +-3, .... at which the form is

indeterminate #0/0#.,

sinx/sinx=1