I am a Medical Student at Newcastle University currently at Durham Campus.From an early age I have always had a keen interest in Science and Maths. I enjoy learning about the different parts of science, such as chemistry or physics. I also enjoy sharing this with other people. At school Maths was my strong point.
I have been coaching hockey to kids in primary school since I was 14 and moving up to coaching secondary school kids as I got older. I also done physics tutoring in my secondary school for students in the year below who were having difficulties.
My aim is that you will have a greater understanding of the topic you need some help with. I have always been keen on using diagrams to explain things to make it easier to understand rather than massive blocks of text.
I hope that you would find the sessions fun but also beneficial to your learning.
If you are interested please send me a message, please dont take the availability that I have listed to be set in stone. If none of those suit please message me and see if we can find a suitable time for tutoring.
|Biology||A Level||£20 /hr|
|Maths||A Level||£20 /hr|
Using the trigonometric(trig) ratios of cosine, sine and tangent we can work out side lengths and angles.
Within a right angle triangle of we are given a side lenght and a angle other than the right angle we can work out either of the other two sides.
Each side is given a name depending on how it relates to the given angle. The longest side on the triangle is called the hypotenuse. The side which is touching the angle but is not the hypotenuse is called the adjacent. The other side the one which is not touching the given angle and is also not the hypotenuse is called the opposite as it is opposite the angle.
Depending on which side we are given and which we want to work out depends which trig ratios we use.
The phrase SOH CAH TOA is an easy way to remember whihc goes with which. So if we look at SOA the S is for sine and the sides are opposite and hypotenuse. So if the sides involved aare those two we use sine. CAH and TOA follow the same order. For these three ratios this means tthat the sine of an angle is equal to the length of the opposite divided by the length of the hypotenuse. For the other two replacing the correct parts.
So to work out a length we can put out known likely into the equation then rearrange it to solve for the unknown side. To get the sine of an angle on your calculator there will be a button with "sin". This should make a "sin(" appears on the screen. Inside the brackets you put the angle. This will give a number most likely with alot of decimal places it is best to carry this using your calculator and round your final answer to three significant figures.
To calculate angles when given two sides is slightly more complex and requires the use of inverse trig rations. These are written as sin-1 cco-11 and tan-1.
We follow the same rules for idenroff in which ratio we use. We fillook in what we know . This will give us the trig ratio of a unknown angle is equal to a number. To calculate the angle we use the inverse trig ratio. For example if we have sin of an unknown we use sin-1. We take the inverse ratio of the number we do this by pressing shift then the normal ratio. It should display "sin-1(" wwepputwe put oojrr number inside the bracket and this gives us the angle which we then round to three significant figures.see more