Find the period of sin 2x

the coefficient (2) of the x-term indicates the period

period (in radians) = 2 π / x-coefficient

To find the period of the function f(x) = sin(2x), you need to determine the value of k such that sin(2x) = sin(2x + k).

The period of the function sin(x) is 2π, which means it repeats itself every 2π units. Since sin(2x) is a compressed version of sin(x), the period of sin(2x) will be half of the period of sin(x).

Therefore, the period of sin(2x) is π.