Question

Identify the period, range, and amplitude of each function.

y=- (1/3)cos 3θ

Answer 1

Explanation:

y=- (1/3)cos 3θ

Period: 2π/b= 2π/3 since b=3 here.

Range: The range of a cosine function is always [-1, 1].

Amplitude: amplitude of a cosine function = the absolute value of the coefficient in front of the cosine function. In this case, the coefficient is -(1/3), so the amplitude is |-(1/3)| = 1/3.