8-4

today i am going to teach you about relationships amoung the functions. they have reciprocal relationships, relationships with negatives, pythagorean relationships, and cofunction realtionships. the example today will deal with pythagorean relationships. i will list them below. there are 4 steps that will need to be followed LOOSELY meaning do not follow them completely but follow them as needed.

Step1: Algebra
Step2: Identities- try pythagorean theorem, then move everything to sin and cosnif it will help
Step3: Algebra
Step4: continue with 1-3


EX: (sec B - tan B) (sec B + tan B)

first do algebra and do FOIL:
sec B^2 - sec B(tan B) + sec B(tan B) - tan B^2

then you simpilfy into:
sec B^2 - tan B^2

next is identities: pythagorean
1 + tan^2 x = sec^2 x is the identity so put that in use for:
sec B^2 - tan B^2
and your answer = 1

that is how you show relationships between functions. they are way harder in class so don't think this how easy it is.