Which of the following are equations for the asymptotes of y = tan (x)? Select all that apply.
x= pi/2
x=pi/4
x=3pi/4
x= - pi/2
x=5pi/6

x = pi/2

x = -pi/2

Step-by-step explanation:

y = tanx has asymptotes at all odd multiples of pi/2

x = pi/2, 3pi/2, 5pi/2, etc

x = -pi/2, -3pi/2, etc

It's a bit of a bummer to have to work through all of these to find the answer. That a lot of slope calculations (or graphing, or whatever). When there are this many, a spreadsheet or other machine help can make it easier.

The correct choice is the last one, XYZ, with vertex X being where the right angle is located.


Slope of XY is 4/7; slope of XZ is -7/4. The product of these is -1, so those segments are at right angles.