What is the domain of 350000*csc(pi/(30)x) ?

The domain of 350000*csc(pi/(30)x) is 60n<x<30+60n\lor 30+60n<x<60+60n

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domain of 350000*csc(pi/(30)x)

domain

350000 \cdot csc (\frac{π}{30} x)

60 n < x < 30 + 60 n or 30 + 60 n < x < 60 + 60 n

Interval Notation

(60 n, 30 + 60 n) \cup (30 + 60 n, 60 + 60 n)

Solution steps

Take the denominator(s) of

350000 \cdot csc (\frac{π}{30} x)

and compare to zero:

x = 60 n, x = 30 + 60 n

Periodicity of

350000 \cdot csc (\frac{π}{30} x) : 60

Combine period:

60 n \leq x < 60 + 60 n

and undefined points.

The domain is

60 n < x < 30 + 60 n or 30 + 60 n < x < 60 + 60 n

What is the domain of 350000*csc(pi/(30)x) ?
The domain of 350000*csc(pi/(30)x) is 60n<x<30+60n\lor 30+60n<x<60+60n