find the period. y = sec(2x)

Explanation:

Step1: Recall period - formula for secant function

The general form of the secant function is $y = A\sec(Bx - C)+D$, and its period is given by $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

For the function $y = \sec(2x)$, we have $B = 2$.

Step3: Calculate the period

Substitute $B = 2$ into the period - formula $T=\frac{2\pi}{|B|}$. Since $|B|=|2| = 2$, then $T=\frac{2\pi}{2}=\pi$.

Answer:

$\pi$