Respuesta :

[tex]\cos\dfrac{3\pi}2=0\implies \sec\dfrac{3\pi}2=\dfrac10[/tex]

but this quantity is undefined.

Answer:

undefined

Step-by-step explanation:

We know that value of [tex]cos\dfrac{3\pi}{2}=0[/tex]

Also, secx=1/cosx

Hence, [tex]sec\dfrac{3\pi}{2}=\dfrac{1}{cos\dfrac{3\pi}{2}}[/tex]

This implies [tex]sec\dfrac{3\pi}{2}=\dfrac{1}{0}[/tex]

i.e.  sec3π/2 is undefined