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 270 degrees at 90 and 270 degrees at 60 and 120 degrees at 60 and 120 degrees at 90 and 180 degrees

Answer 1

The tangent function is undefined at angles where the cosine value is zero, because tangent is defined as \(\tan(x) = \frac{\sin(x)}{\cos(x)}\). The cosine function is zero at odd multiples of 90 degrees (or \( \frac{\pi}{2} + k\pi \), where \( k \) is an integer).

Therefore, the tangent function is undefined at:

• 90 degrees
• 270 degrees

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