Determine which function is represented by the graph. Do not use a calculator. Explain you...

Determine which function is represented by the graph. Do not use a calculator. Explain your reasoning.

(a)

(i) f(x) = tan 2x

(ii) f(x) = tan(x/2)

(iii) f(x) = 2 tan x

(iv) f(x) = −tan 2x

(v) f(x) = −tan (x/2)

(b)

(i) f(x) = sec 4x

(ii) f(x) = csc 4x

(iii) f(x) = csc(x/4)

(iv) f(x) = sec(x/4)

(v) f(x) = csc(4x −π)