At which value will the graph of y=secx have a zero

Step-by-step explanation:                         1

Note that y = sec x is equivalent to y =

                                                                  cos x

Also note that the range of the cos x function is [-1, 1], which means that there is no x value for which sec x has a zero.  

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  (1)  -5 and -3

Step-by-step explanation:

Descarte's rule of signs tells you the lack of sign changes among the coefficients means there are no positive real roots. That eliminates all answer choices except the first one.

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If you want to go to the trouble, you can factor the equation:

  y = (x +3)(x +5)

These factors are zero when x = -5 and x = -3.