What is the domain of tan(θ) ?

The domain of tan(θ) is pin<= θ< pi/2+pin\lor pi/2+pin<θ<pi+pin

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domain of tan(θ)

domain

tan (θ)

πn \leq θ < \frac{π}{2} + πn or \frac{π}{2} + πn < θ < π + πn

Interval Notation

[πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Solution steps

Take the denominator(s) of

tan (θ)

and compare to zero:

θ = \frac{π}{2} + πn

Periodicity of

tan (θ) : π

Combine period:

πn \leq θ < π + πn

and undefined points.

The domain is

πn \leq θ < \frac{π}{2} + πn or \frac{π}{2} + πn < θ < π + πn

f (x) = lo g_{10} (x^{3} - 8)

\frac{5 - 3 ^{x}}{2}

f (x) = \frac{3 x - 6}{4 x + 2}

g (x) = - 2 (x - 1)^{2} + 4

\frac{1}{x + 9}

What is the domain of tan(θ) ?
The domain of tan(θ) is pin<= θ< pi/2+pin\lor pi/2+pin<θ<pi+pin