Sum Difference and Double Angle Trig Identities
12th Grade
•19 Qs
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Sum Difference and Double Angle Trig Identities
Quiz
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
Anthony Clark
Used 1+ times
FREE Resource
19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Both A and B
Tags
CCSS.HSF.TF.C.9
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
Using the sum identity for sine, sin(5π/12) = sin(π/4 + π/3) = sin(π/4)cos(π/3) + cos(π/4)sin(π/3) = (√2/2 * √3/2) + (√2/2 * 1/2) = (√6 + √2)/4
Tags
CCSS.HSF.TF.C.9
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSF.TF.C.9
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
Using the sum identity for cosine, we have cos(7π/12) = cos(π/3 + π/4) = cos(π/3)cos(π/4) - sin(π/3)sin(π/4) = (sqrt(3)/2 * sqrt(2)/2) - (sqrt(3)/2 * sqrt(2)/2) = -sqrt(6)/4 + sqrt(2)/4 = -sqrt(6 - sqrt(2))/4
Tags
CCSS.HSF.TF.C.9
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify using double angle identities
A
B
C
D
Tags
CCSS.HSF.TF.C.9
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the angle sum/difference identity to find the exact value of
Tags
CCSS.HSF.TF.C.9
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSF.TF.C.9
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