5.1 - day 1 answer key

Advanced Algebra and Trig - Section 5.1 - Day #1 - Notes
DO NOW!
Plot the following points. State the quadrant in which each point is located.
Point
A(-4, -2)
Quadrant
_____
II
B(3, -1)
I
C(-2, 3)
Remember:
Quadrants
_____
_____
III
IV
D(3, 4)
_____
___________________________________________________________________________
NOTES:
Angle:_______________________________________________________
_______________________________________________________
A
Vertex B
C
x-axis
The Initial side is _____________.
The Terminal side is _____________.
Standard position of an angle:
 The Vertex is __________________________________________________________.
The Initial side must ______________________________________________________.
The terminal side of an angle in Positive Standard Position is rotated_________________________.
The terminal side of an angle in Negative Standard Position is rotated_________________________.
Do the following angles have Positive or Negative measure?
y
y
x

x

y
x

y
y
y


x
X
x

Angles can be named with Greek Letters. Match the Greek letter with its name.

______Alpha

______Beta

______Theta

______Gamma
In Trigonometry, angles in standard form can be______________ or ______________.
(more than ______ , and less than ___)
More to come…
Graph each Angle in Standard Position and State the Quadrant in which the terminal side lies.
1) =50o
2) = 200 o
3) =340 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
5) =  45o
6) =  100 o
7) =100 o
4) =175 o
Quadrant :__________
8) =  85 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
9) =  300o
10) = -135 o
11) =90 o
Quadrant :__________
12) = -180 o
Quadrant :__________
Quadrant :__________ Quadrant :__________ Quadrant :__________
Name:_________________________________ Date:______________________ Period:___________
HOMEWORK: Graphing Angles in Standard Form using Degrees
Graph each Angle in Standard Position and State the Quadrant in which it lies.
1) = 40o
2) = 30 o
3) = 90 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
5) =  125o
Quadrant :__________
6) = 90 o
Quadrant :__________
7) = 300 o
Quadrant :__________
4) = 95 o
Quadrant :__________
8) =  95 o
Quadrant :__________
9) =  45o
10) = 350 o
11) = 65 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
13) =  145o
14) = 265 o
15) = 320 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
12) = 180 o
Quadrant :__________
16) = 180 o
Quadrant :__________
OVER
HOMEWORK: Graph each Angle in Standard Position and State the Quadrant in which it lies.
17) = 75o
18) = 150 o
19) =340 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
21) =  75o
22) =  280 o
23) = 270 o
20) = 175 o
Quadrant :__________
24) =  185 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
25) =  360o
26) = 18 o
27) = 195 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
29) = 320o
30) =  190 o
31) =  20 o
Quadrant :__________
Quadrant :__________
Quadrant :__________
Quadrant :__________
28) = 325 o
Quadrant :__________
32) = 175 o
Quadrant :__________