Review questions: Categorize each parent function by dragging them to the different lables
cosecant
polynomial
cotangent
tangent
quadratic
Linear
radical
logarithmic
cosine
exponential
secant
sine
rational
unrestricted Domain--> x= all real numbers
restricted domain, x cannot be all real numbers.
An identity is true no matter what value is chosen for its variable. so lets do some true-false questions: each of these is either an identity or not an identity. categorize them.
identity
not an identity
which word needs to be changed?
what should it be changed to?
Does the way these two pictures show the geometric forms of the six functions reconcile you a little to the fact that csc is the reciprocal of sin, not cosine?
So far we have a set of basic trig identities, pythagorean identities and the co-functional identities, and odd/even identities. See if you can match identities,
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | cos (90°-x) | |
| arrow_right_alt | cot(90°-x) | |
csc x | arrow_right_alt | csc (90°-x) |
tan x | arrow_right_alt | 1/sin x |
sin x | arrow_right_alt | cos x/sin x |
| arrow_right_alt | 1 | |
cos(x) | arrow_right_alt | |
cot x | arrow_right_alt | |
sec x | arrow_right_alt | cos(-x) |
Can you solve the following equation?
Prove the following identity:
Finish up the module. Let me know here if there are any topics you want to go over.