Sum and Difference Identities
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the Sum and Difference Identities for sine?
Back
sin(a ± b) = sin(a)cos(b) ± cos(a)sin(b)
Tags
CCSS.HSF.TF.C.9
2.
FLASHCARD QUESTION
Front
What are the Sum and Difference Identities for cosine?
Back
cos(a ± b) = cos(a)cos(b) ∓ sin(a)sin(b)
Tags
CCSS.HSF.TF.C.9
3.
FLASHCARD QUESTION
Front
What is the Sum Identity for tangent?
Back
tan(a + b) = (tan(a) + tan(b)) / (1 - tan(a)tan(b))
Tags
CCSS.HSF.TF.C.9
4.
FLASHCARD QUESTION
Front
What is the Difference Identity for tangent?
Back
tan(a - b) = (tan(a) - tan(b)) / (1 + tan(a)tan(b))
Tags
CCSS.HSF.TF.C.9
5.
FLASHCARD QUESTION
Front
Find the exact value of sin(5π/12)cos(π/4) - cos(5π/12)sin(π/4).
Back
1/2
Tags
CCSS.HSF.TF.C.9
6.
FLASHCARD QUESTION
Front
Write cos(175)cos(55) + sin(175)sin(55) as a single cosine function.
Back
cos(120)
Tags
CCSS.HSF.TF.C.9
7.
FLASHCARD QUESTION
Front
Use Sum or Difference Identities to find the exact value of cos(75°).
Back
√6/4 - √2/4
Tags
CCSS.HSF.TF.C.9
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