### Instruction: What is the period of $y = \sin 5x $?### Response: To find the period of a sinusoidal function, I need to compare it to the standard form $y = A \sin(Bx + C) + D$, where the period is given by $P = \frac{2\pi}{B}$.
In this case, I see that $A = 1, B = 5, C = 0, D = 0$, so the period is simply $P = \frac{2\pi}{5}$.
I could leave the answer like this, or I could write it as a decimal approximation by dividing $2\pi$ by 5 on a calculator.
I get $P \approx 1.2566$.