4.1 and 4.2
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?
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?
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?
: all real numbers
: 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?
How do you find periodic properties of sine and cosine?
What are the periodic properties of tangent and cotangent?
4.1 and 4.2