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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?
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?
- 360o= 2
- or 180o= 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?
- sin2t+ cos2t= 1
- 1+ tan2t= sec2t
- 1+ cot2t= csc2t
How do you find periodic properties of sine and cosine?
- sin = sint
- cos ()= cost
What are the periodic properties of tangent and cotangent?