12-16

December 16 - TPJ "Today's Objectives" 1. Quiz Review 2. Vectors and Trig 3. Using the Trig Functions

Today we instroduced trigonometry to our vectors! However, before that we went over the quiz that we took the day before, which covered adding, subtracting, and components.

After we went over the quiz, we started to talk about trigonometry. The handout for the day was pg. 21, and we covered how to label each side of a triangle. Specifically, the Hypotenuse, the Opposite, and teh Adjacent. The Opposite side is the side opposite to the angle, the side opposite of the 90 degree angle is the hypotenuse, and the last side is the adjacent. For any right triangle you would use SOH (Sine) CAH (Cosine) TOA (Tangent) to find the degree you are looking for. Or, if you are looking for one of the sides, you can also use SOH CAH TOA to find the missing degree. Here are some examples that we covered today on the Smart-board: In this first problem, we first label the Opposite(A), Adjacent(A), and Hypotenuse (H) X, which is what we're trying to find, is found by multiplying the cos 25 times H to get it to the other side, then divide 5 by the cos of 25 and that is the answer!

In this problem, we first label the sides of the triangle, notice that the Adjacent, Opposite, and Hypotenuse are on different sides this time. To solve this problem, first you must use the tangent(because its Opposite over Adjacent which are the given sides, remeber TOA) of theta = O/A. Then plug in the problem and divide the two numbers. After that is done, you must use what is called the "tangent inverse" of the number you get, which gives you Theta = 48.5

After that, we worked on pg 23 (Using Trig Functions) and worked on it for the rest of the period. It was due for homework the next day if it was not completed. Until next time!