Section 9.4: Sum-to-Product and Product-to-Sum Formulas
Authored by Julie Sullivan
Mathematics
University
CCSS covered
Used 5+ times
AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
Content View
Student View
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for expressing the product of cosines as a sum?
cos(α)cos(β) = 1/2 [cos(α−β) + cos(α+β)]
cos(α)cos(β) = cos(α+β) - cos(α−β)
cos(α)cos(β) = sin(α+β) + sin(α−β)
cos(α)cos(β) = 1/2 [sin(α−β) - sin(α+β)]
Tags
CCSS.HSF.TF.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you express the product of sine and cosine as a sum?
sin(α)cos(β) = 1/2 [cos(α−β) - cos(α+β)]
sin(α)cos(β) = cos(α+β) + cos(α−β)
sin(α)cos(β) = sin(α+β) - sin(α−β)
sin(α)cos(β) = 1/2 [sin(α+β) + sin(α−β)]
Tags
CCSS.HSF.TF.C.9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of expressing the product of sines in terms of cosine?
sin(α)sin(β) = sin(α+β) - sin(α−β)
sin(α)sin(β) = cos(α+β) + cos(α−β)
sin(α)sin(β) = 1/2 [sin(α+β) + sin(α−β)]
sin(α)sin(β) = 1/2 [cos(α−β) - cos(α+β)]
Tags
CCSS.HSF.TF.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula represents the sum-to-product identity for sine?
sin(α) + sin(β) = 2cos((α+β)/2)sin((α−β)/2)
sin(α) + sin(β) = cos((α+β)/2) + cos((α−β)/2)
sin(α) + sin(β) = sin((α+β)/2) + sin((α−β)/2)
sin(α) + sin(β) = 2sin((α+β)/2)cos((α−β)/2)
Tags
CCSS.HSF.TF.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express the difference of cosines as a product?
cos(α) - cos(β) = sin((α+β)/2) - sin((α−β)/2)
cos(α) - cos(β) = 2sin((α+β)/2)cos((α−β)/2)
cos(α) - cos(β) = -2sin((α+β)/2)sin((α−β)/2)
cos(α) - cos(β) = cos((α+β)/2) - cos((α−β)/2)
Tags
CCSS.HSF.TF.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct expression for the sum of cosines in terms of product?
cos(α) + cos(β) = 2sin((α+β)/2)sin((α−β)/2)
cos(α) + cos(β) = sin((α+β)/2) + sin((α−β)/2)
cos(α) + cos(β) = cos((α+β)/2) + cos((α−β)/2)
cos(α) + cos(β) = 2cos((α+β)/2)cos((α−β)/2)
Tags
CCSS.HSF.TF.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the product-to-sum formulas, how can you express cos(3θ)cos(5θ)?
1/2 [sin(2θ) - sin(8θ)]
1/2 [sin(2θ) + sin(8θ)]
1/2 [cos(2θ) - cos(8θ)]
1/2 [cos(2θ) + cos(8θ)]
Tags
CCSS.HSF.TF.C.9
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
