At what which of the following sets of values is the tangent function undefined?(1 point) Responses at 45 and 135 degrees at 45 and 135 degrees at 90 and 180 degrees at 90 and 180 degrees at 90 and 270 degrees at 90 and 270 degrees at 60 and 120 degrees at 60 and 120 degrees

1 answer

The tangent function is undefined at angles where the cosine function equals zero, because tangent is defined as the ratio of the sine to the cosine (tan(θ) = sin(θ) / cos(θ)). The cosine function is zero at the following angles:

  • 90 degrees
  • 270 degrees

Therefore, the tangent function is undefined at 90 degrees and 270 degrees.

So, the correct response is: at 90 and 270 degrees.