Mastering Sum & Difference Identities in Precalculus Concepts
School
Monroe Township High School**We aren't endorsed by this school
Course
MATH 654
Subject
Mathematics
Date
Dec 12, 2024
Pages
4
Uploaded by ProfessorWhale2930
a2u1G UKduXtPa^ MSXoSfPtLwbabrneV ULiLwCT.` p \AclWlc WrGiOg\hptSsY YrMeOsPejrovhekdU.z F SMUaLdueV xwfixtahc AIjnSfOiVnLixtsex TAUlygRePbFrgan V2n.Worksheet by Kuta Software LLCPrecalculus 5.4 Day 1 Warm UpAlgebra 2 ReviewName___________________________________ ID: 1Date________________ Block____Simplify each expression.1) 4m+ m243m4Simplify.2) −1 + 533 −2
5.4 Sum & Difference Identities •Sum and difference identities are used to convert angles we aren’t familiar with to ones we are (ie. Multiples of 30°, 45°, 60°, and 90°or "#, "$, "%, and "&). •For example, ࠵?࠵?࠵?(75°)can be written as ࠵?࠵?࠵?(30°+ 45°)but that is NOTequal to ࠵?࠵?࠵?(30°) + ࠵?࠵?࠵?(45°)! Sum & Difference Identities ßneed to memorize sin(࠵? + ࠵?) = ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? + ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?sin(࠵? − ࠵?) = ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? − ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?cos(࠵? + ࠵?) = ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? − ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?cos(࠵? − ࠵?) = ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? + ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?tan(࠵? + ࠵?) =࠵?࠵?࠵?࠵? + ࠵?࠵?࠵?࠵?1 − ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?tan(࠵? − ࠵?) =࠵?࠵?࠵?࠵? − ࠵?࠵?࠵?࠵?1 + ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?These problems put your factor and unit circle skills to good use! J1. Find the exact value of ࠵?࠵?࠵?(75°).
2. Find the exact value of ࠵?࠵?࠵?"’&. 3. What is the exact value of the expression? ࠵?࠵?࠵?("’&A. √2+ √64B. √2− √64C. √2+ √62D. √22E. I need help. 4. Find the exact value of ࠵?࠵?࠵?’("’&.
5. Which is the exact value of the expression? ࠵?࠵?࠵?(15°)A. 2 + √3B. 2 − √3C. 12− √3D. 12+ √3E. I need help. 6. Find the exact value of sin (࠵? + ࠵?)given ࠵?࠵?࠵?࠵? =$), where 0 < ࠵? <"&and ࠵?࠵?࠵?࠵? = −’&’%, where "&< ࠵? < ࠵?.