Practice Frequency in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Frequency is the number of complete cycles of a periodic process per unit of input (often time).
Frequency counts how many complete cycles occur per unit of the horizontal axis — higher frequency means the wave oscillates more rapidly in the same space or time.
Example 1
easyFind the period and frequency of f(x) = \sin(4x).
Example 2
mediumA sound wave completes 440 cycles per second. Find the period and write a sine function modeling this wave with amplitude 1.
Example 3
mediumFind the period of g(t) = 3\cos\left(\frac{\pi t}{5}\right) + 2.
Example 4
hardTwo tuning forks produce tones modeled by y_1 = \sin(880\pi t) and y_2 = \sin(884\pi t). Find the beat frequency when both are played together.