
Trigonometric Expressions and Identities

Interactive Video
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Mathematics
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9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
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 expression given in the problem?
sine to the fourth X plus cosine to the fourth X
sine squared X plus cosine squared X
cosine to the fourth X minus sine to the fourth X
cosine squared X minus sine squared X
Tags
CCSS.HSA.APR.C.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which algebraic method is used to factor the given trigonometric expression?
Sum of cubes
Sum of squares
Difference of cubes
Difference of squares
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two binomial factors obtained after factoring the expression?
cosine squared X plus sine squared X and cosine to the fourth X minus sine to the fourth X
cosine to the fourth X plus sine to the fourth X and cosine to the fourth X minus sine to the fourth X
cosine X plus sine X and cosine X minus sine X
cosine squared X plus sine squared X and cosine squared X minus sine squared X
Tags
CCSS.HSF.TF.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What identity is used to simplify cosine squared X plus sine squared X?
Reciprocal identity
Quotient identity
Pythagorean identity
Even-Odd identity
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does cosine squared X plus sine squared X simplify to?
cosine squared X
1
0
2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made for cosine squared X during simplification?
sine squared X plus 1
sine squared X minus 1
1 plus sine squared X
1 minus sine squared X
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of performing a substitution in the simplification process?
To increase the complexity of the expression
To express the equation in terms of a single trigonometric function
To eliminate all trigonometric functions
To convert the expression into a polynomial
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