Give the exact value of the trigonometric function.

sec([tex]\frac{\pi }{2}[/tex])
A. 1
B. -1
C. 0
D. undefined

Please explain your answer, thank you! I'll give brainliest.

Respuesta :

Nayefx

Answer:

D) undefined

Step-by-step explanation:

we would like to simplify the following

[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) [/tex]

remember that, sec is the recipocal of cos

so,

[tex] \displaystyle \frac{1}{\cos \left( \frac{\pi}{2} \right) }[/tex]

by unit circle we acquire

[tex] \displaystyle \frac{1}{0}[/tex]

remember that, dividing by 0 is undefined

hence,

[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) =\rm undefined [/tex]

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