Sum and Difference Formula

Homework due Friday

Sum and Difference notes

Quiz Tuesday

Trig formulas you need to memorize

List of trig formulas you need to memorize 

Angles not on the unit circle

Notes

Homework due 12/15

Quiz Monday on unit circle, six trig functions, triangles not on unit circle, coterminal angles, conversions, and sum and difference formulas

Review of Geometry trig

Homework: Facing Math fill in the chart using your unit circle

NOTES

Quiz Monday on all review material, triangles in the coordinate plane, secant, cosecant, cotangent, sum and difference formulas

Trig starts on Monday

Starting December 11th we will be beginning our unit on trig functions. It might be a good idea for you to review your unit circle and trig learned in Geometry. I have assigned a unit circle lesson on khan academy and am including links to a blank unit circle and a filled in unit circle below. You will need to have your unit circle memorized!

Blank unit circle
Filled in unit circle

Here is a quick review from the website Math is Fun: Unit circle review

Footnote: where do the values come from?

We can use the equation x² + y² = 1 to find the lengths of x and y (which are equal to cosand sin when the radius is 1):

45 Degrees

For 45 degrees, x and y are equal, so y=x:

x² + x² = 1

2x² = 1

x² = ½

x = y = √(½)

60 Degrees

Take an equilateral triangle (all sides are equal and all angles are 60°) and split it down the middle.

The "x" side is now ½,

And the "y" side is:

(½)² + y² = 1

¼ + y² = 1

y² = 1-¼ = ¾

y = √(¾)

30 Degrees

30° is just 60° with x and y swapped, so x = √(¾) and y = ½

And:

√(½) is also this:
And √(¾) is also this:

And here is the result (same as before):

Angle	Sin	Cos	Tan=Sin/Cos
30°			1√3 = √33
45°			1
60°			√3

More Complex Rational Equations

Notes on more complex rational equations

HW: AWP 131 - pick three from each column, remember to identify the domain restrictions

Benchmark Friday 12/8/17