# 4.1 and 4.2

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 Author: DesLee26 ID: 128127 Filename: 4.1 and 4.2 Updated: 2012-01-16 09:35:47 Tags: Pre Calculus Folders: Description: Seniors =( Show Answers:

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1. 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
2. What is a coterminal angle?
two or more angles that terminate in the same place
3. What is the sum of complements and supplements?
• C: 90
• S: 180
4. 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
5. What is the relationship between degrees and radians?
• 360o= 2
• or 180o= pi
6. 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.
7. What is the formula for angular speed?
8. What is the formula for linear speed?
, where t is time
9. What are the six trig functions?
• sine= y/r csc=r/y
• cos= x/r sec= r/x
• tan= y/x cot= x/y
10. What is the domain of sine and cosine? Range?
• domain: all real numbers
• range: the set of real numbers from -1 to 1 inclusive
11. What are the only two even trig functions?
cos and sec
12. What are the reciprocal identities?
• sin= 1/ csc
• cos= 1/ sec
• tan= 1/ cot
• csc= 1/ sin
• sec= 1/ cos
• cot= 1/ tan
13. What are the quotient identities?
• tant= sint/ cost
• cott= cost/ sint
14. What are the pythagorean identities?
• sin2t+ cos2t= 1
• 1+ tan2t= sec2t
• 1+ cot2t= csc2t
15. How do you find periodic properties of sine and cosine?
• sin = sint
• cos ()= cost
16. What are the periodic properties of tangent and cotangent?

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