6.4_bzat4e - a. sin 60 - sin 30 b. cos 42 + cos 148 Example...

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Section 6.4 Product-to-Sum and Sum-to-Product Formulas
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The Product-to-Sum Formulas
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Example Express each of the following products as a sum or difference: a. sin 2x cos 3x b. sin 3x sin 2x
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Example 0 0 0 0 Express each of the following as a sum or difference: a. 2 sin 74 cos114 b. cos 45 sin 25
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Example Use the product-to-sum formulas to rewrite the 5 following then find the exact value of cos sin . 6 3 π
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Example 0 0 Use the product-to-sum formulas to rewrite the following then find the exact value of cos 15 cos 45 .
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The Sum-to-Product Formulas
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Example Express each sum or difference as a product: a. sin 2x + sin 3x b. cos 4x - cos 2x
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Example 0 0 0 0 Express each sum or difference as a product:
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Unformatted text preview: a. sin 60 - sin 30 b. cos 42 + cos 148 Example Express the following as a product and if possible find the exact value. cos75 cos 15 + Example Verify that the following is an identity: sin 3 sin tan cos3 cos x x x x x-= + Example Verify that the following is an identity: 1 sin 3 sin tan 2 cos cos3 x x x x x-=-(a) (b) (c) (d) Express the product as a sum or difference: sin 2x cos x [ ] [ ] [ ] [ ] 1 sin3 sin 2 1 sin3 sin 2 1 cos cos3 2 1 cos3 cos 2 x x x x x x x x +-+-(a) (b) (c) (d) 5 Find the exact value of cos cos . 12 12 -1 2 3 2 2 2 1 2--...
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6.4_bzat4e - a. sin 60 - sin 30 b. cos 42 + cos 148 Example...

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