Transcript Lesson 4.4 – Trigonometric Functions of Any Angle

Put your homework questions
on the board BEFORE the
bell rings!
Trig Quiz!?
1) tan 0 
2) sin

6

3) cos 120 
3
4) sin

4
5) cos 225 
11
6) cos

6
7) sin 300 
8) tan

4

9) cos 180 
3
10) tan

2
The Wørd
Eviscerate – to deprive of vital
force or content
Section 4.4
Trigonometric Functions
of ANY Angle
I can’t wait for tomorrow…
Given ANY point (x, y) NOT on the unit
circle:
sin  
10
(x, y)
cos  
8
6
tan  
4
2
-10
-5
5
10
cot  
-2
-4
sec  
-6
-8
csc  
-10
Not only because I get
better looking every day…
Find the value of the trig
sin


functions for the given θ.
cos  
8
6
tan  
(-3, 4)
4
2
-5
5
10
cot  
-2
-4
-6
-8
sec  
csc  
-10
…but because it’ll be one day
closer to Thursday!!!
Find the value of the trig
sin


functions for the given θ.
cos  
8
6
tan  
4
2
-5
5
10
cot  
-2
(-2, -3)
-4
-6
-8
sec  
csc  
-10
And no offense
to you guys…
Find the value of the trig
2
functions for the given θ. sin


8
 lies in Quad IV
6
4
2
-5
5
-2
-4
-6
-8
5
10
-10
…but I’m not sure you
can dress yourselves.
Find the value of the trig
3
functions for the given θ. tan

cos   0
8
6
4
2
-5
5
-2
-4
-6
-8
10
-10
After all…
Find the value of the trig
functions for the given θ.
3
   2
2
8
6
4
2
-5
5
-2
-4
-6
-8
sec   5
10
-10
…you KNOW you’re
supposed to wear green.
Find the trig value in the
3
given quadrant.
sin   
5
Quad III
8
6
4
2
-5
5
-2
-4
-6
-8
10
cos  
-10
Find the trig value in the
given quadrant.
8
6
4
2
-5
5
-2
-4
-6
-8
10
And yet, few
actually do.
6
csc  
5
Quad II
sec  
-10
It should be automatic
at this point.
Find the value of the
given function.
2
tan

3
8
6
4
2
-5
5
-2
-4
-6
-8
10
-10
Will the sun rise
tomorrow?
Find the value of the
given function.
7
sec

6
8
6
4
2
-5
5
-2
-4
-6
-8
10
-10
If I let go of my
pen, will it fall to
Find the value of the
the ground?
given function.
7
csc

4
8
6
4
2
-5
5
-2
-4
-6
-8
10
-10
Will the NFC
West stink next
year?
Find the value of the
given function.
4
cot

3
8
6
4
2
-5
5
-2
-4
-6
-8
10
Find two solutions of
the equation. Give
your answers in
degrees and radians.
Will the Blues
break my heart?
1
sin  
2
Find two solutions of
the equation. Give
your answers in
degrees and radians.
Will I go
home and play
Fable 3?
tan   1
Find two solutions of
the equation. Give
your answers in
degrees and radians.
Will I do math for
fun this weekend?
sec    2
Find two solutions of
the equation. Give
your answers in
degrees and radians.
Will you have
homework tonight?
cot    3
Wear green!
Find two solutions of
the equation. Give
your answers in
degrees and radians.
sin   1
And your homework!
4.4 from the packet!