Algebra 2 With Trig Semester 1

Exponents

100

A^2 x A^5

A^7

200

3A^2 - 4A^2

-A^2

300

D / D^3

1/D^2

400

 (3x⁴y³)³

27x¹²y⁹

500

(4x²y²)²/2x^-1y⁵

8x⁵/y

Polynomials

100

(4x²+3x-2)+(2x²-3)

6x²+3x-5

200

(5x²-2x+12) - (-2x²+3x-2)

7x²-5x+14

300

2(3x-y)

6x-2y

400

(3x - 7)(x + 3)

3x²+2x-21

500

(x²-2x+3)(2x²+3x+7)

2x⁴-x³+7x²-5x+21

Trig Laws

100

This can be written as opp/hyp

What is Sine?

200

This can be written as adj/hyp

What is Cosine?

300

This can be written as opp/adj

What is Tangent?

400

This Law is best used when you have an angle and the side opposite of it. It is written sinA/a=sinB/b=sinC/c

What is Law of Sines?

500

This Law is best used when you cannot use Law of Sines.

a²=b²+c² - 2bcCosA is one of three ways you can write it.

What is Law of Cosine?

Unit Circle

100

sin(0)=   (in degrees)

0^o

200

cos(pi)=

1

300

tan(pi/3)=  

sqrt3/2 / 1/2

400

Convert 75 degrees to radians

5pi/12

500

Convert 3pi/4 radians to degrees

135 degrees

Sine and Cosine Functions

100

This graph starts at the midline

What is Sine function?

200

This starts above or below the midline, depending on the amplitude

What is the Cosine Function?

300

y=asinbx+c   y=acosbx+c

This is represented by "a" in the equations above.

What is the amplitude?

400

This is how you find the angular speed or "b"

b=360/period

500

The sine equation that has amplitude of 3. Midline of -2. a period of 30

y=3sin12x-2