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S2W3 FC#2 - identities practice

Last updated 3 months ago
10 questions
1

Review questions: Categorize each parent function by dragging them to the different lables

  • rational
  • cotangent
  • cosecant
  • logarithmic
  • radical
  • Linear
  • quadratic
  • tangent
  • polynomial
  • exponential
  • secant
  • cosine
  • sine
  • unrestricted Domain--> x= all real numbers
  • restricted domain, x cannot be all real numbers.
1

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
1

which word needs to be changed?

When we proved that tan x= sin x/cos x we used similar triangles. A related proof is used to prove that secant is the reciprocal of cosine, but this time the secant is the leg of the same triangle used in the tan proof.
1

what should it be changed to?

0

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?

1
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)
__________=__________
__________=__________
__________=__________
1

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 itemCorresponding Item
sec x
cos (90°-x)
cot(90°-x)
tan x
csc (90°-x)
1/sin x
cot x
cos x/sin x
cos(x)
1
sin x
csc x
cos(-x)
1

Can you solve the following equation?

10

Prove the following identity:

0

Finish up the module. Let me know here if there are any topics you want to go over.