at which value will the graph of y= sec x have a zero?A.) pi/2B.) pi/4C.) pi/3D.) None

• vasquez3388: D: None of the Above
• SerenaBochenek:

  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.