1
which word needs to be changed?
which word needs to be changed?
When we proved that tan x= sin x/cos x we used
1
what should it be changed to?
what should it be changed to?
0
Review questions: Categorize each parent function by dragging them to the different lables
Linear
cosecant
quadratic
logarithmic
sine
cosine
secant
polynomial
cotangent
exponential
tangent
radical
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?
When we proved that tan x= sin x/cos x we used
what should it be changed to?
Review: the co in cosine, cotangent and cosecant stands for complementary, which refers to the relationship to each other when their . The sine function is an function, because the graph of one side of the y axis is . Another list of trig identities to know are the cofunction identities -
Cos x= Sin
= tan (90°-x)
=
=
=
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,
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
| 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.
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?