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.
x4
1) f x
x2
x4
3) f x
x 1x 3
2) g x x 2
4) g x 2 x
x 3
5) f x
x 8