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Sum to product  and   product-to-sum formulas Sum to product  and   product-to-sum formulas

Sum to product and product-to-sum formulas - PowerPoint Presentation

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Uploaded On 2023-11-07

Sum to product and product-to-sum formulas - PPT Presentation

Objective Express products as sums Express sums as products Product to Sum Formula for cosine Show that Example1 Express the following product of cosines as a sum Example2 Use the producttosum formula to write the product as a sum or difference ID: 1030010

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1. Sum to product and product-to-sum formulasObjective:Express products as sums.Express sums as products.

2. Product to Sum Formula for cosineShow that

3. Example-1Express the following product of cosines as a sum:

4. Example-2Use the product-to-sum formula to write the product as a sum or difference: cos(2θ)cos(4θ)

5. Example-3:Show that

6. Example-4:Rewrite the product sin4xcos5x as a sum or difference.

7.

8.

9. Example-5Sum to product Formula for cosineProve the following sum to product formula.

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12. Example-6Write the following sums of cosines expression as a product: cos(4θ) + cos(2θ).

13. Classwork

14. Try MeWrite the following difference of sines expression as a product: sin(4θ)− sin(2θ).Ans: 2sinθcos(3θ.

15. Why not me?Find the exact value ofAns:

16. HomeworkWorksheet