Question

question 13 (1 point) the graph of cos x has a period of a) k b) 2π c) 1 d) π

Explanation:

Step1: Recall the period formula for trigonometric functions

For a general cosine function \(y = A\cos(Bx - C)+D\), the period is given by \(T=\frac{2\pi}{|B|}\).

Step2: Identify \(B\) for \(y = \cos x\)

In the function \(y=\cos x\), \(B = 1\).

Step3: Calculate the period

Substitute \(B = 1\) into the period formula \(T=\frac{2\pi}{|B|}\). We get \(T=\frac{2\pi}{|1|}=2\pi\).

Answer:

B. \(2\pi\)