Y=aSin(bx)
- Starts at centerline which can also be known as the median (diagram above)
- then goes to maximum, back to center, minimum, center, repeat
- if the amplitude is negaitve, the wave will go to its minimum, to the center, then to the maxium, back to the center, repeat
- Period is equal to 2π
- If there is a b, you take the period divided by b: 2π/b
- Keypoint Interval= 2π/4
- If there is a b, you will take that new period, 2π/b, and divide that by 4
- Amplitude=Distance from the centerline to the minimum or maximum
- vertical stretch/shrink
- The lead number of the equation (a)
- If the Amplitude is negative it is a vertical flip
- (Ex) y=-4*sinx
- Amplitude=4
- there's a negative 4, so the graph has a vertical flip
Y=aCos(bx)
- Period is equal to 2π
- Starts at maximum(diagram above)
- goes to its center, minimum, back to center, maximum, repeat
- Period=2π, if there is a b your period will be: 2π/b
- Keypoint Interval= 2π/4
- If there is a b, you will take that new period, 2π/b, and divide that by 4
- Amplitude=The lead number of the equation (a)
- Same rule with the amplitude applies to all of these functions
Example of Amplitude
If a star is very bright, you know the amplitude is greater than a dimmer light because of how far the star's rays can reach. High amplitude=bright star, lower amplitude=dim star.
Frequency of a Wave
- The rate at which something occurs or is repeated over a particular period of time.
- Measured in Hertz (Hz)
- pitch corresponds with frequency
- high frequency=high pitch
- low frequency=low pitch
- highest pitched sound=20,000 Hz
How do Radios work?
1. First it all starts at any radio station.
2. Next the radio station sends out different kinds of waves called AM and FM signals.
3. Then it goes to a different converting to go the RF (AM and FM) frequency that is required to
use.
4. After that, those signals are sent to antenna transmitter that sends out these waves.
5. Then with the waves going to anything receiving these waves, like for example a radio.
6. Then the radio would have to be adjusted to be able to receive this certain RF signal to transmit
it.
7. Then the radio will transfer the waves back to an audio.
8. Finally it would transmit to any kind of news, hip hop, country, classical or any kind of music you
want to hear.