Which of the the following options are correct for the question below.

Determine the point of discontinuity for the fraction f(thita) = 3 tan 2 thita
(a) 59° (b) 45° (c) 90° (d) none

1 answer

The correct answer is (c) 90°.

The fraction f(theta) = 3 tan(2theta) will have a discontinuity at values of theta where the tangent function is undefined.

Since the tangent function is undefined at odd multiples of 90 degrees (i.e. 90°, 270°, -90°, etc.), the point of discontinuity for the given function is at 90°.