
Trigonometric Identities and Integrals

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Amelia Wright
Used 1+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial step in evaluating the indefinite integral of the fourth power of sine 2x?
Applying the half-angle identity
Using the double angle formula
Direct integration
Using the Pythagorean identity
Tags
CCSS.HSF.TF.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the angle modified when applying the half-angle identity to sine squared x?
It is halved
It remains the same
It is doubled
It is tripled
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of squaring the expression one half times the quantity one minus cosine four x?
One fourth times the quantity one minus two cosine four x plus cosine squared four x
One fourth times the quantity one plus two cosine four x plus cosine squared four x
One fourth times the quantity one minus cosine four x
One fourth times the quantity one plus cosine four x
Tags
CCSS.HSF.TF.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to substitute for cosine squared four x?
Sine double angle identity
Cosine double angle identity
Half-angle identity
Pythagorean identity
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the expression after distributing one-fourth?
Three-eighths minus one half cosine four x plus one eighth cosine eight x
Three-eighths plus one half cosine four x minus one eighth cosine eight x
Three-eighths minus one fourth cosine four x plus one fourth cosine eight x
Three-eighths plus one fourth cosine four x minus one fourth cosine eight x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using u-substitution in this problem?
To find the derivative
To eliminate trigonometric functions
To change the variable of integration
To simplify the expression
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of u for the second integral?
u = 2x
u = 4x
u = 6x
u = 8x
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