What is the domain of-3csc(pi/2 t)-3 ?

The domain of-3csc(pi/2 t)-3 is 4n<t<2+4n\lor 2+4n<t<4+4n

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domain of-3csc(pi/2 t)-3

domain

- 3 csc (\frac{π}{2} t) - 3

4 n < t < 2 + 4 n or 2 + 4 n < t < 4 + 4 n

Interval Notation

(4 n, 2 + 4 n) \cup (2 + 4 n, 4 + 4 n)

Solution steps

Take the denominator(s) of

- 3 csc (\frac{π}{2} t) - 3

and compare to zero:

t = 4 n, t = 2 + 4 n

Periodicity of

- 3 csc (\frac{π}{2} t) - 3 : 4

Combine period:

4 n \leq t < 4 + 4 n

and undefined points.

The domain is

4 n < t < 2 + 4 n or 2 + 4 n < t < 4 + 4 n

f (x) = 4 sin^{2} (x), - π \leq x \leq π

f (t) = \frac{5 t ^{2} - 64}{3 t + 17}

- 2 x - 5

f (x) = \frac{2 - x}{x ^{2} - 4 x + 3}

f (x) = - 5.4

What is the domain of-3csc(pi/2 t)-3 ?
The domain of-3csc(pi/2 t)-3 is 4n<t<2+4n\lor 2+4n<t<4+4n