AAT

SEMESTER 2 REVIEW

Lets Get Rich

Polynomials

Find the zeroes of the polynomial f(x)= with a given factor (x-3)

3 26 30x x x

3is the number for synthetic division

2you get 3 10

which factors to (x+2)(x-5)

zeroes x=-2, 5, 3

x x

Right Angle Trig

Solve the triangle

12 2cos cos ( ) 66.4

5 5A A

AB

C

2

5180 90 66.42 23.6 C

2 2 2

2

2 5

4 4

21 21

a

a a

Polynomials

Find the zeroes given factors.

( 3)(2 5) 0x x x

3, 5 / 2, 0x x x

Rationals

Find the domain of the rational function.

( ,0) (0,3) (3, )

2

3( )

3

xf x

x x

Polynomials

One factor of is (x-6), find the remaining factors.

3 23 28 60x x x

( 5)( 2)x x

Right Angle Trig

Find cos(C)=

3cos

5C

AB

C

4

5

Polynomials

Write the equation of the polynomial given the roots x=3, x=5, x=0

x(x-3)(x-5)

3 28 15x x x

Right Angle Trig

Find csc(A)=

3sin( )

2A

AB

C

1

2

2csc()

3A

Unit Circle

The point is on unit circle in standard position. Find the six trig functions of the angle formed.

2 2sin csc 2

2 2

2 2cos sec 2

2 2tan 1 cot 1

B

2 2( , )

2 2

Degrees/Radians

Convert to radians 120

2120

180 3

Degrees/Radians

Convert to degrees 7

9

7 180140

9

Degrees/Radians

Find a positive and a negative coterminal angle for 23 degrees

23 360 383

23 360 337

Law of Sines

Use the law of sines to solve the triangle .

180 37 48 95 C 48

B

37b

18m a

C

A

sin 95 sin 48

18 b

sin 95 18sin 48 13.4b b

sin 95 sin 37

18 a

sin 95 18sin 37 10.8a a

Polynomials

Solve the following equation

2 2( 5)( 4)x x

2 25 4

5, 2

x or x

x i

4 2 20 0x x

Right Angle Trig

The point (-1, 8) is on the terminal side of angle B in standard position. Find the six trig functions of B.

(-1,8)

-1

8

65

8 8 65 65sin csc

65 865

1 65cos sec 65

65658 1

tan 8 cot1 8

B B

B B

B B