This week in maths we had our unit test on numbers and exponents and we learned a bit about trigonometry. In trigonometry, we learned about the angles of a triangle, sides of a right-angle triangle, ( like the hypotenuse, opposite and adjacent ).

The hypotenuse is always the longest side of the triangle, the opposite side is always the one across from the given angle in an equation. Finally, the adjacent side is the one next to the given angle.

Since we only had a short lesson on this, the one other thing we learned about was ratios.

We have the sine ratio, the cosine ratio, and the tangent ratio. The formulas for the ratios are shown below.

Here is an example of these rules combined in a question:

In this picture, you can see that I labeled the sides with letters instead of using the whole word, as it is easier and helps us keep the question neat. You can also see our given angle which is represented with an a.

The last step for this formula was to figure out our ratios. I plugged in all of the numbers whilst following our rules and came up with the answer this question was asking us which was to figure out each ratio.