what is the period of the following function?\ny = cos 2θ\n?π

what is the period of the following function?\ny = cos 2θ\n?π

what is the period of the following function?\ny = cos 2θ\n?π

Answer

Explanation:

Step1: Recall period formula

The general formula for the period of the cosine function $y = A\cos(B\theta)$ is $T=\frac{2\pi}{|B|}$.

Step2: Identify B - value

For the function $y=\cos(2\theta)$, $B = 2$.

Step3: Calculate the period

Substitute $B = 2$ into the formula $T=\frac{2\pi}{|B|}$, we get $T=\frac{2\pi}{2}=\pi$.

Answer:

$1$