Question

Find the first TWO non-negative asymptotes and the first negative asymptote of the graph of y in radians y=tan(2x) .

Answer 1

tangent is equal to sin/cos. There will be asymptotes when the denominator is 0. So when cos(2x) = 0, there will be vertical asymptotes. The cosine of pi/2 =0 so if 2x is pi/2, there will be a vertical asymptote. So if x = pi/4, there will be a vertical asymptote and every pi/2 units before and after pi/4.

Answer 2

thank you