Show that the general tangent function , ,

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Show that the general tangent function

y = a \tan(b(x - c)) + d

a \neq 0

b > 0

, has asymptotes

x = \frac{\pi}{2b}(2k + 1) + c

for all

k \in \mathbb{Z}