- #1
th3plan
- 93
- 0
Homework Statement
Ok so we started Fourier Analysis in circuits. How can i tell the Period of a function that's let's say sin(2t)+3cos(5t) something like that . Any help or url's that have information on this
The period of a function involving sin and cos is the length of one complete cycle of the function. This can be determined by finding the distance between two consecutive peaks or troughs of the function. This distance is also known as the wavelength.
Yes, you can determine the period of a function without graphing it by looking at the coefficient of the variable inside the sin or cos function. The period is equal to 2π divided by the coefficient. For example, if the function is sin(3x), the period is 2π/3.
The period and frequency of a function are inversely related. This means that as the period increases, the frequency decreases, and vice versa. The frequency is equal to 1 divided by the period.
No, the period of a function cannot be negative. The period is a measure of distance and, therefore, cannot have a negative value. If you are working with a negative period, it may be helpful to use its absolute value instead.
The amplitude of a function does not affect its period. The period is solely determined by the coefficient inside the sin or cos function. The amplitude only affects the height of the peaks and troughs of the function.