Chapter 5

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The power reduction identities Theorem cos 2 α = 1+cos(2α) 2 , sin 2 α = 1−cos(2α) 2 , tan 2 α = 1−cos(2α) 1+cos(2α) Proof.
Example 4 Prove that 8 sin 4 x = 3 − 4 cos(2x) + cos(4x)
Page 1: Ch 5.1 : More on verifying identiti
Page 5 and 6: Example 1 Prove that (1 − tan t)
Page 7 and 8: Example 3 Prove that cos t 1 + sec
Page 9 and 10: Class Exercises Verify the followin
Page 11 and 12: 5.2: The Sum and Difference Identit
Page 13: Sum and difference identities for T
Page 16 and 17: Example 4 Use the sum or difference
Page 18 and 19: Class Exercise Given α and β are
Page 20 and 21: Example 2 : Combining sum and doubl
Page 24: Half-Angle Identities Theorem ◮ c
Page 27 and 28: Example 6 For cos θ = − 7 25 sin
Page 29: The Product-to-Sum Identities Proof
Page 32: The Sum-to-Product Identities (for
Page 35 and 36: Example Write the sum as a product

Chapter 5

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