This week I will be talking about the top 5 things I learned in Precal 11, not everything here will be about math.

My first topic is to be more prepared for my test. On the first test, I got a rude awakening with a very low mark, I think it is the lowest mark I have ever gotten. So knowing that I had to put in a lot of work after that and get back on track, even though on most of my tests this year I haven’t done my best. But I  learned a lot of good tricks on test taking. Some tricks I learned is to never erase on ur scrap paper and just cross it out. and if you skip a question write it at the top of the paper so you know where to find it and save time.

My second topic is on completing the square. Completing the square when an equation is a quadratic and is in general form: (y = ax^2 + bx + c)

My third topic is the Quadratic formula. The quadratic formula is also used when an equation is quadratic and in a general form. The reason I like the quadratic formula is that it was very new to me I haven’t learned anything like it before. The formula is :

It’s pretty simple you just plug the numbers in and solve like you normally would.

My fourth topic is the sine Law. I found this a cool way to find the sides and angles of a triangle.

The formula for the sine law is:

sin a/A = sin b/B = Sin c/C

In this question, we’re gonna be looking for a side.

So what we do is look for opposites. so A>70 is the opposite of 50.3 and B>49 is the opposite of x

So it will be sin70/50.3 * sin49/x were going to cross multiply which ends up being:

sin49*50.3/sin70*x we take out x and we are left with

sin49*50.3/sin70 = x

then we punch in the numbers and we get 40.4.

and to find an angle you do the same thing but the number you get you have to put it through inverse sine to get ur answers.\\

My Fifth topic is the cosine law. Like the sine law, it is a cool and easier way of finding the sides and angles of a triangle.

The formula for the cosine law is

: a^2= b^2+c^2-2ab*cosA

Given this question

First, we input the numbers that we know into the formula.

a^2= 50^2 + 63^2 -2(50)(63)cos(48)

a^2= 2253

we square then we get

a= 47

Precalculus 11 started off with a really rough start and a not-so-smooth finish. But I did learn that for the next semester and years to come, I need to step my game up and can’t be doing the same thing I’ve done since middle school. I need to put a lot more effort into m school work for a better outcome. But I’m glad I took this class it was able to learn a lot of stuff and explore a whole different area of math.