Transcript Part II

Students,
Take out your calendar and your homework. Take out your spiral
notebook and Complete the DNA. Use your notes if
necessary.
Find a positive coterminal
angle and a negative
coterminal angle for the
given angle.
1) 84
3
2)
7
3) Write the degree measure
of each radian measure.
a) 2  ___
b)   ___
c)
d)

2

4
 ___
 ___
e)
f)

3

6
 ___
 ___
Supplementary Angles: measures add up to 180°.
Complementary Angles: measures add up to 90°.
•Complementary and supplementary angles must be
positive.
1) Find the complement of each angle.
a) 34
b)

3
2) Find the supplement of each angle.
a) 111
b)

4
1. To convert degrees to radians,
multiply degrees by
 rad
180
2. To convert radians to degrees,
multiply radians by
180
 rad
Rewrite each degree measure in radians and each
radian measure in degrees.
1) 347
•In which quadrant does
the terminal side of each
angle lie?
2)  165
13
3)
30
3
4) 
16
5) 4.25
Arc Length
s  r
1) A circle has a radius of
27 inches. Find the
length of the arc
intercepted by a central
angle of 160°.
Linear and Angular Speed
arc length s
Linear speed 

time
t
central angle 
angular speed 

time
t
2) The circular blade on a saw rotates at 2400
revolutions per minute.
a)Find the angular speed in radians per second.
b)The blade has a radius of 4 inches. Find the linear
speed of a blade tip in inches per second.
1) Convert 60 from degrees to radians.
2) Find the supplement of an angle
5
measuring  
.
7
3) On a circle with a radius of 9
inches, find the length of the arc
intercepte d by a central angle of 140.
Definition of Trigonometric Functions
Let t be a real number and let (x, y) be the point on the
unit circle corresponding to t.
sin t  y
cos t  x
y
tan t 
x
1
csc t 
y
1
sec t 
x
x
cot t 
y
  12 5 
, 

 13 13 
y

x
Determine the exact values of the six trigonometric
functions of the angle θ.
Linear and Angular Speed
arc length s
Linear speed 

time
t
central angle 
angular speed 

time
t
2) The circular blade on a saw rotates at 2400
revolutions per minute.
a)Find the angular speed in radians per second.
b)The blade has a radius of 4 inches. Find the linear
speed of a blade tip in inches per second.
Find the domain of the following functions.
x4
1) f  x  
x2
x4
3) f x  
x  1x  3
2) g  x   x  2
4) g x   2  x
x 3
5) f x  
x 8