Download College Alg Unit5_Standard2_Notepacket_Boddy version

Name:_______________________
College Algebra
Unit 5 – Standard 2
Day
1
2
3
Learning Target



Find exact values of the Six Trig.
Functions of Quadrantal Angles.

Find exact values of the Six Trig.
Functions of 450, 300, 600 Angles
Find exact values of the Six Trig.
Functions in all four quadrants.

4
Draw an angle in standard form.
Convert angles from degrees to
radians and radians to degrees.
 Determine the period and signs of
the Six Trig. Functions
 Find the Exact Values of the Trig
Functions Utilizing Fundamental
Identities.
Assignment
Worksheet #1
Worksheet #2
Worksheet #3
Worksheet #4
Review
5
Review
6
Unit 5 – Standard 2 Test
7
This is an outline. The assignments/quizzes/tests are subject to change
College Algebra
Unit 5 – Standard 2
Trigonometry Notes Day 1
Name_____________________
Angles and their measures
Learning Targets: Students will be able to draw an angle in standard form.
Students will be able to convert angles from degrees to radians
and radians to degrees.
An angle is said to be in standard form if its vertex is at the origin of a rectangular coordinate
system and its initial side coincides with the positive x-axis.
Draw each angle.
Ex. 1 600
Ex. 2 1500
Ex. 3 2000
Ex. 4 -450
What on earth is a radian?
Convert from degrees into exact radians.
Ex 5. 1200
Ex 6. 900
Ex 7. -450
Convert from radians into degrees.
Ex 8.

6
Ex 9.
3
4
Ex 10. -
2
3
Convert degrees to radians or radians to degrees.
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ASSIGNMENT #1: Worksheet #1
College Algebra
Unit 5 – Standard 2
Trigonometry Notes Day 2
Name_____________________
Trigonometry: Unit Circle and Quadrantal Angles
Learning Targets: Students will be able to find exact values of the Trig. Functions of
Quadrantal Angles.
The Six Trigonometric Functions
sin
=
csc
=
cos
=
sec
=
cot
=
tan
=
The Unit Circle
Quadrantal Angles &
SOH – CAH - TOA
SIN
COS
TAN
Find the exact Value of the given Trig. Function
Ex.1
sin

2
Ex.2
cos
3
2
Ex. 3 cot 
Ex. 4 csc2
Find the exact values of each expression. Do not use a calculator!
Ex. 5
tan   sin 2
Ex. 6
2 csc

2
 sec 2
Find the exact values of the six trigonometric functions of the given angle.
Ex. 7
3
2
Ex 8.

sin 
csc 
sin 
csc 
cos 
sec 
cos 
sec 
tan 
cot 
tan 
cot 
ASSIGNMENT #2: Worksheet #2
College Algebra
Unit 5 – Standard 2
Trigonometry Notes Day 3
Name_____________________
Trigonometry: Unit Circle and 450, 300, 600 Angles
Learning Targets: Students will be able to find exact values of the Trig. Functions of. 450, 300, 600
Students will be able to find exact values of the Trig. Functions
in all four quadrants.
The Six Trigonometric Functions
sin
=
csc
=
cos
=
sec
=
cot
=
tan
=


(Degrees) (Radians)
300 – 600 – 900
Side
Across
From
Angle
450 - 450 – 900
300
450
600
Find the exact value of the given trig function.
Ex.1
sin

4
Ex.2
cos

6
Ex. 3 tan

3
Ex. 4 sec
2
3
Ex. 5 csc
7
6
Ex. 6 cot
Find the exact values of each expression. Do not use a calculator!
Ex. 7
tan

3
 cos

3
Ex. 8
2sin
3
5
 tan
4
4
Find the exact values of the six trigonometric functions of the given angle.
Ex. 9
5
3
Ex 10.


4
sin 
csc 
sin 
csc 
cos 
sec 
cos 
sec 
tan 
cot 
tan 
cot 
ASSIGNMENT #3: Worksheet #3
7
4
College Algebra
Unit 5 – Standard 2
Trigonometry Notes Day 4
Name_____________________
Properties of Trigonometric Functions
Learning Targets: Students will be able to determine the period and signs of the six trig functions.
Students will be able to find the exact values of the trigonometric functions
utilizing fundamental identities.
Use the fact that the trig functions are periodic to find the exact value of each expression.
Do not use a calculator.
Ex. 1
sin 4950
Ex. 2 tan ( 19 )
Ex. 3 csc
Quadrant II
Quadrant I
cos  < 0
sin  > 0
Quadrant III
cos  > 0
sin  > 0
Quadrant IV
cos  < 0
sin  < 0
cos  > 0
sin  < 0
Name the quadrant in which the angle  lies.
Ex. 4
csc  < 0, sec  > 0
Ex. 5 cos  > 0, tan  < 0
9
2
Find the exact value of each of the remaining trig functions.
4
Ex. 6 cos  = - , cot   0
5
sin 
csc 
cos 
sec 
tan 
cot 
Ex. 7 sin  =
2
, tan  < 0
3
sin 
csc 
cos 
sec 
tan 
cot 
Ex. 8
tan   
5
, sin   0
12
sin 
csc 
cos 
sec 
tan 
cot 
ASSIGNMENT #4: Worksheet #4