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4.1 and 4.2
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What is an angle in standard position?
Which way do the positive angles rotate?
- vertex must be at origin
- initial side must be on the x- axis
- counter clockwise
What is a coterminal angle?
two or more angles that terminate in the same place
What is the sum of complements and supplements?
C
: 90
S
: 180
What is the formula for radian measure?
where theta is the central angle, s is the length of the intersected arc, and r is the radius
What is the relationship between degrees and radians?
360
^{o}
= 2
or 180
^{o}
= pi
What is the formula for finding length of the circular arc?
Theta must be in radians. So you have to convert it first by doing pi/ 180.
What is the formula for angular speed?
What is the formula for linear speed?
, where t is time
What are the six trig functions?
sine= y/r csc=r/y
cos= x/r sec= r/x
tan= y/x cot= x/y
What is the domain of sine and cosine? Range?
domain
: all real numbers
range
: the set of real numbers from -1 to 1 inclusive
What are the only two even trig functions?
cos and sec
What are the reciprocal identities?
sin= 1/ csc
cos= 1/ sec
tan= 1/ cot
csc= 1/ sin
sec= 1/ cos
cot= 1/ tan
What are the quotient identities?
tant= sint/ cost
cott= cost/ sint
What are the pythagorean identities?
sin
^{2}
t+ cos
^{2}
t= 1
1+ tan
^{2}
t= sec
^{2}
t
1+ cot
^{2}
t= csc
^{2}
t
How do you find periodic properties of sine and cosine?
sin
= sint
cos (
)= cost
What are the periodic properties of tangent and cotangent?
Author
DesLee26
ID
128127
Card Set
4.1 and 4.2
Description
Seniors =(
Updated
2012-01-16T14:35:47Z
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