Answer:
Correct option is D.
Step-by-step explanation:
Given the graph y=sec x
we have to choose the value at which the value of y is 0.
as, [tex]sec x=\frac{1}{cos x}[/tex]
Option A.) [tex]\frac{\pi}{2}[/tex]
[tex]y=sec{\frac{\pi}{2}}=\frac{1}{cos{\pi}{2}}=\frac{1}{0}=\infty[/tex]
Option B.) [tex]\frac{\pi}{2}[/tex]
[tex]y=sec{\frac{\pi}{4}}=\frac{1}{cos{\pi}{4}}=\frac{1}{\frac{1}{\sqrt 2}}=\sqrt2[/tex]
Option C.) [tex]\frac{\pi}{3}[/tex]
[tex]y=sec{\frac{\pi}{3}}=\frac{1}{cos{\pi}{3}}=\frac{1}{\frac{1}{2}}=2[/tex]
No option above gives the value 0
Hence, the correct option is D.
