EllasynY237144 EllasynY237144
  • 25-10-2022
  • Mathematics
contestada

Which equation represents a tangent function with a domain of all Real numbers such that x ≠ π + 2πn, where n is an integer?

Which equation represents a tangent function with a domain of all Real numbers such that x π 2πn where n is an integer class=

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KristiM449188 KristiM449188
  • 25-10-2022

Along the domain [0,2pi), the tangent function is not defined when x = pi/2 and x = 3pi/2.

Then, when we are considering the domain of all real numbers, tangent function is not defined for x = pi/2 + n*pi, where n is a integer.

We can check in the last option, j(x) = tan(x/2-pi), that when x = pi + 2*n*pi the argument would be -pi/2 + n*pi

Therefore, since the function is not defined at x = pi + 2*n*pi, the answer is: j(x) = tan(x/2-pi)

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