What is the domain of tan((x(pi))/2) ?

The domain of tan((x(pi))/2) is 2n<= x<1+2n\lor 1+2n<x<2+2n

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domain of tan((x(pi))/2)

domain

tan (\frac{x ( π )}{2})

2 n \leq x < 1 + 2 n or 1 + 2 n < x < 2 + 2 n

Interval Notation

[2 n, 1 + 2 n) \cup (1 + 2 n, 2 + 2 n)

Solution steps

Take the denominator(s) of

tan (\frac{x π}{2})

and compare to zero:

x = 1 + 2 n

Periodicity of

tan (\frac{x π}{2}) : 2

Combine period:

2 n \leq x < 2 + 2 n

and undefined points.

The domain is

2 n \leq x < 1 + 2 n or 1 + 2 n < x < 2 + 2 n

f (x) = \frac{2}{2 x - 5}

y = ∣ x - 3 ∣

32 x^{5}

f (x) = ln (x)

f (x) = \frac{x ^{2} - 4}{6 x ^{2}}

What is the domain of tan((x(pi))/2) ?
The domain of tan((x(pi))/2) is 2n<= x<1+2n\lor 1+2n<x<2+2n