We focus on the topic of Trigonometric graphs in today's countdown blog. You will be expected to recall the shapes of the three trigonometric functions and be able to highlight the key points (x-axis intercepts, Maximum and minimum turning points.). Note that the x-axis is measured in degrees and that the trigonometric graphs are periodical (they repeat every 360 degrees). You should then be able to read off the graphs to give the angles for specific sin/cos/tan values (notice the symmetry and that there will be more than one angle).
In today's blog post, we take a look at the Sine and Cosine rules. These rules are used when we are asked to find missing lengths or angles in non-right-angled triangles. The Sine rule is best used when you have an angle and its opposite length and the Cosine rule when you have two sides and the included angle. It is then a case of substituting know values into the formulae and rearranging to generate your answer.
You will not be given these formulae in the exam so makes sure you commit them to memory.
Today we delve a little deeper into the topic of trigonometry, focusing on SohCahToa (mnemonic for the trig functions). You will use this when finding missing angles or side lengths in right angled triangles. The first step will be to accurately label the triangle with Opposite, Adjacent and Hypotenuse. We then have to decide which trig ratio to use to solve the problem.
You could use the formula triangles to instruct you or you could substitute values into the function and rearrange to solve.
Today, we are looking at the Trigonometry Ratios. Trigonometry is usually used to calculate missing side lengths and angles in right-angled triangles. There are three functions you need to aware of; the Sine, Cosine and Tangent Functions and these are related to the lengths of the key terms of the right-angled triangle (Opposite, Adjacent and Hypotenuse). They are simply one side of a right-angled triangle divided by another and will have a specific value dependent upon the angle marked theta (or x).
You are required to know the specific values for each function when given an angle. It will be important to remember the three tables provided in this snapshot.
We move onto Trigonometry for day 44. We will focus on the trig functions of Sine, Cosine and Tangent. For your exam, you will be required to know specific angle values of Sin, Cos and Tan and these can be seen in the tables. You will also have to know how to use the functions in order to calculate missing angles and side lengths in right angled triangles. Before you start any trigonometry problem, it will be crucial to label your right angled triangle with Opposite, Adjacent and Hypotenuse accuratley. This will then help to decide which of the three trigonometry functions to use.
Before you start any trigonometry problem, it will be crucial to label your right angled triangle with Opposite, Adjacent and Hypotenuse accurately. This will then help to decide which of the three trigonometry functions to use.