PRODUCTTOSUM AND SUMTOPRODUCT FORMULAS Section 5 5 B

PRODUCT-TO-SUM AND SUM-TO-PRODUCT FORMULAS Section 5. 5 B Precalculus Pre. AP/Dual, Revised © 2016 Viet. dang@humble. k 12. tx. us 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 1

SUM-TO-PRODUCT IDENTITIES 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 2

PROOF 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 3

EXAMPLE 1 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 4

EXAMPLE 2 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 5

YOUR TURN 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 6

EXAMPLE 3 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 7

EXAMPLE 3 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 8

EXAMPLE 4 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 9

YOUR TURN 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 10

PRODUCT-TO-SUM IDENTITIES 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 11

PROOF Sum and Difference formulas for Cosine 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 12

PROOF Sum and Difference formulas for Cosine 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 13

PROOF Sum and Difference formulas for Sine 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 14

PROOF Sum and Difference formulas for Sine 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 15

EXAMPLE 5 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 16

EXAMPLE 6 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 17

YOUR TURN 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 18

ASSIGNMENT Worksheet 12/18/2021 11: 51 AM 5. 5 B: Product-to-Sum and Sum-to-Product Formulas 19