Transcript Part I

Students,
Take out your calendar and your homework. Take out your spiral
notebook and Complete the DNA. Use your notes if
necessary.
1) Write the degree measure
of each radian measure.
a) 2  ___
b)   ___
c)
d)

2

4
 ___
 ___
e)
f)

3

6
Write the
complement and
supplement of each
angle.
 ___
2) 70
 ___

3)
5
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.
Find the indicated trig ratio below.
2
1) sin
3
2
5) csc
3
5
2) cos
6
5
6) sec
6
11
3) tan
6
11
7) cot
6
4) cos( 60)
8) cos( 60)
Use a calculator to find the trig ratios.
1) tan 48
2) tan( 5.22)
 2 
3) cos

 7 
4) tan  35
 4 
5) csc

 11 
6) sec(11)
  2 
7) cot

 7 
Arc Length
s  r
1) A circle has a radius of
12 inches. Find the
length of the arc
intercepted by a central
angle of 125°.
2) A circle has a
diameter of 8 inches.
Find the length of the arc
intercepted by a central
angle of 270°.
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 1200
revolutions per minute.
a)Find the angular speed in radians per second.
b)The blade has a radius of 6 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.
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.