Graphing The Trigonometric Function

Question

What are the verticals asymptotes of the function y= y tan 45 x? Circle the correct answer.

a) x= -45° and x = 45°

b) x= - 2° and x = 2°

c) x= -1° and x =1°

d) x= -90° and x = 90°

Answer 1

°Normally y = tan(x) has vertical asymptotes at -45° and 45° in other words, it has a period of 90°. To determine the period of the function in question (y = tan(45x), we take the normal period (180) and divide by the number multiplier in front of the "x" which is 45. So 180/45 = 4. So the period of the function in question is 4°. That means it will be +2° and -2° (answer b)