In Exercises 17–24, graph two periods of the given cotangent function. y = 3 cot(x + π/2)

In Exercises 18–24, graph two full periods of the given tangent or cotangent function. y = − 1/2 cot π/2 x

In Exercises 25–28, use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.

Below is a graph of the function $y=\(\tan\]\left\)(bx\(\right\))$. Determine the value of b.

Graph each function over a one-period interval.

y = 3 sec [(1/4)x]

Graph each function over a one-period interval.

y = - (1/2) csc (x + π/2)

For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = (1/2)csc (2x - π/4)

For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = 2 sec(πx - 2π)