Sum and Difference Identities Worksheet
This worksheet focuses on applying sum and difference identities for sine, cosine, and tangent functions to solve trigonometric problems.
Includes
2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False
Standards
CCSS.MATH.CONTENT.HSG.SRT.D.9
Topics
trigonometryidentitiessum and differencegrade 11math
7 sections · Free to use · Printable
Sum and Difference Identities
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Evaluate the exact value of cos(75°).
2. Find the exact value of sin(105°).
3. The sum identity for cosine is cos(A + B) = .
4. The difference identity for sine is sin(A - B) = .
5. Which of the following is equivalent to tan(x + y)?
a
(tan x + tan y) / (1 - tan x tan y)
b
(tan x - tan y) / (1 + tan x tan y)
c
tan x + tan y
d
tan x tan y
6. The identity sin(A + B) = sin A cos B + cos A sin B is a sum identity.
T
True
F
False
7. Prove the identity: cos(π/2 - x) = sin x.