Please explain any one of them in detail? Thanks!

enter image source here

1 Answer
Jun 2, 2018

Choice 1, pi/2π2 to {5pi}/25π2

Explanation:

As math has gone online the quality has really suffered. No real math editor would commit an italic s text{} ecsec to print.

We seek two periods of y = 1/2 sec (2x - pi) .y=12sec(2xπ). The period of sec x secx is of course 2pi2π and the factor of two on xx means the period of our function is pi.π. So if we want two cycles, we need xx to range over 2pi.2π.

Let's look at our choices. The first one has the correct interval size.

Let's try it in the Socratic cancel{text{crasher}} grapher. pi/2 approx 1.7 and {5pi}/2 approx 7.9. Looks like two periods. quad sqrt

graph{y = 1/2 sec (2x - pi) [1.7, 7.85, -2.5, 2.5]}