Question

Find the amplitude and period of the function y = cos(2x):

A. Amplitude = 1, Period = π
B. Amplitude = 1, Period = π/2
C. Amplitude = 2, Period = π
D. Amplitude = 2, Period = π/2

Answer 1

The amplitude of the function y = cos(2x) is 1 and the period is π.

Step-by-step explanation:

The function y = cos(2x) is a cosine function with a coefficient of 2 in front of the x. The coefficient of x determines the period of the cosine function, while the coefficient of the cosine determines the amplitude. In this case, the period of the function is 2π/2 = π and the amplitude is 1. Therefore, the correct answer is A. Amplitude = 1 and Period = π.