What is the period and amplitude for cos(pi/5)(x)?

1 Answer
Jul 25, 2018

As below.

Explanation:

Standard form of cosine function is y = A cos (Bx - C) + D

Given y = cos ((pi/5) x)

A = 1, B = pi/5, C = D = 0

Amplitude = |A| = 1

Period = (2 pi) / |B| = (2pi) / (pi/5) = 10

Phase Shift = -C / B = 0

Vertical Shift = D = 0

graph{cos ((pi/5) x) [-10, 10, -5, 5]}