S2W3 FC#2 - identities practice - Gwyneth Lenfest | Library

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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

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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.

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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?

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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)
__________=__________
__________=__________
__________=__________

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Draggable item		Corresponding Item

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Can you solve the following equation?

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Prove the following identity:

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Draggable item		Corresponding Item
sin x		cos (90°-x)
		cot(90°-x)
		csc (90°-x)
		1/sin x
cos(x)		cos x/sin x
cot x		1
sec x
tan x
csc x		cos(-x)

S2W3 FC#2 - identities practice

S2W3 FC#2 - identities practice

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.

which word needs to be changed?

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?

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.

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

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.

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,

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.

what should it be changed to?