The cosine of an angle is a number which is equal to the length of the adjacent edge divided by the length of the hypotenuse.
These three examples enable us to understand how to use the cosine formula. In order to find the calculation to be done during the last but one step in the first two examples, you must hide the lengths AC and PS and carry out a cross product with the remaining numbers.
In the second example, in order to calculate cos(30)×10, you must be careful not to enter cos(300) into the calculationator, 10×cos(30) is not the same as cos(300).
This is all that you need to know about the cosine. If you want a better understanding of what the cosine is, you can read the 9th Grade trigonometry lesson. Knowing how to use the cosine enables us to calculate many things, for example, if you have some time, try and calculate the height of the tree (you will need the cosine and pythagoras theorem).
Jenny is 30 meters away from the tree, she measures 20° between the foot of the tree and the top of the tree, she would like to know the height of the tree.
If you wish, you can move on without solving this problem (the correction is not given). However, it is a good problem.
See also : trigonometry on fmaths.com