### Angles in standard position, reference(related) angles, and the like.

Helloo fellow scribes ...

I am your scribe for today, and hopefully this will start the scribe program up again, and no one will get confused and mxed up again.

Today in class we learned about

**Angles in the standard position.**We started off with this recall about quadrants: the top right section of a coordinate plain is the

**first quadrant.**Moving counter clockwise from the first quadrant makes the top left section of the coordinate plain the

**second quadrant**, and so on.

When the postive x axis is the first side of an angel, that is called the

**inital side or arm.**When a

**ray**is drawn through the origin between 0 and degrees, this ray is called the

**terminal side or arm.**The angle that the initial and terminal sides make is called an angle in

**standard position.**

When an angle is in

**standard postion:**

**1) it's initial side is the x axis, and the terminal side is formed by a ray extending out from the origin.**

**2)the angle is measured in counter clockwise direction**

Consider:

**Remember : r= the square root of x^2 +y^2**

if (x,y) is any point on the terminal side of an angle in standard position:

**The SIN of the angle is y/r**

**The COS of the angle is x/r**

**The Tan of the angle is y/x**

This diagram lays out just what you have to do to find the angle you are looking for.

**Remember : unknown angles are usually expressed with the greek letter theta.**

Some angles have special relationships with each other. This relationship could be referred to as a **Reference/related angle.**

**A related/reference angle is the acute angle formed between the terminal side of the angle and the nearest x axis.**

We were also given a summary of reference angles, and basic facts about SINE and COSINE graphs. This I do not need to type here because I am sure you all have it. Also, there is a project due on monday, about quadratic functions, trigononmetry, and a little bit of mental math. You can work with anyone, just make sure you hand it in on monday!

Homework for tonight is Exercise #8....

If anyone has any questions, or comments, feel free to contact me. I may have made a mistake on something, so feedback is always appreciated. I am kind of in a hurry, but I hope this post does justice to all the ones that have come before it!

And the scribe for tomorrow is....Dino!

Good luck man, I know you will do well! Keep up the good work guys!

Chow.

## 3 Comments:

Good scribe post Kristin! Now I don't feel much worried about this.

7:56 PM

Kristin,

Great post. This not exactly an easy lesson to scribe on, but you did an excellent job. I wouldn't expect nothing less from you. :)

Mr.M

9:18 PM

Ahhh... I remember doing that now... Hahaha. Excellent Work Kristin.

11:10 PM

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