Answer
Options C and E are the correct answers.
The two options that are indeed vertical asymptotes of this function include
Step-by-step explanation
Asymptotes are the points on either the x or the y-axis where the graph of the function doesn't touch.
Taking each of the options one at a time, we will know which of them are actually asymptotes.
Option A
x = π
We can see that a line passes through this point,
At x = π, y = 0
This is not an asymptote for this function.
Option B
x = 0
We can see that a line passes through this point,
At x = 0, y = 0
This is not an asymptote for this function.
Option C
x = (3π/2)
We can see that the lines of the function avoid the vertical line of x = (3π/2)
This is an asymptote for this function.
Option D
x = (π/4)
This lies between x = 0 and x = (π/2)
We can see that a line passes through this point,
At x = (π/4), y = -0.5
This is not an asymptote for this function.
Option E
x = (π/2)
We can see that the lines of the function avoid the vertical line of x = (π/2)
This is also an asymptote for this function.
Hope this Helps!!!