#SINE FUNCTION EQUATION MAKER FULL#

What I like about this is that you are given a difficulty rating, as well as a mark scheme and also a worked video tutorial. Algebra, Calculus etc) and each area then has a number of graded questions. The Questionbank takes you to a breakdown of each main subject area (e.g. If you’re already thinking about your coursework then it’s probably also time to start planning some revision, either for the end of Year 12 school exams or Year 13 final exams. There’s a really great website that I would strongly recommend students use – you choose your subject (HL/SL/Studies if your exam is in 2020 or Applications/Analysis if your exam is in 2021), and then have the following resources:

If you enjoyed this post you might also like:įourier Transforms – the most important tool in mathematics? – how we can use advanced mathematics to understand waves – with applications for everything from WIFI, JPEG compression, DNA analysis and MRI scans. So, modelling waves using trig graphs is an essential part of understanding the physical world. See if you can hear this file – warning it’s a bit painful!Īs well as sound waves, the whole of the electromagnetic spectrum (radio waves, microwaves, infrared, visible light, ultraviolet, x rays and gamma rays) can also be thought of in terms of waves of different frequencies. Which has the equation, y = sin(40,000πt). Babies have a ability to hear higher pitched sounds, and we gradually lose this higher range with age. Again you can listen to this sound file on Wolfram Alpha.Īt the top end of the sound spectrum for adults is around 16,000 – 20,000Hz. Which has the equation, y = sin(1643.84πt). The middle C on a piano is modeled with a wave of 261.626Hz. 20Hz is regarded as the lower range of hearing spectrum for adults – and is a very low bass sound. You can plot this graph using Wolfram Alpha, and then play the sound file to hear what 20Hz sounds like. Sine waves with different Hertz values will each have a distinct sound – so we can cycle through scales in music through sine waves of different periods.Ģ0Hz means 20 periods per second (i.e 1 period per 1/20 second) so we can find the equivalent sine wave by using

#SINE FUNCTION EQUATION MAKER FULL#

When modeling sound waves we normally work in Hertz – where Hertz just means full cycles (periods) per second.

b is then connected to the period of the function by the formula period = 2π/b. Musical notes can be thought of in terms of sine curves where we have the basic formula: Sine and cosine waves are incredibly important for understanding all sorts of waves in physics.

Sine function equation maker