Trigonometric Identities

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Example 5 Copyright © 2009 Pearson Addison-Wesley 1.1-24 APPLYING THE COSINE DIFFERENCE IDENTITY TO VOLTAGE (continued) (a) It is essential for electric generators to rotate at precisely 60 cycles per second so household appliances and computers will function properly. Determine ω for these electric generators. Each cycle is 2π radians at 60 cycles per second, so the angular speed is ω = 60(2π) = 120π radians per second. 5.2-24
Example 5 Copyright © 2009 Pearson Addison-Wesley 1.1-25 APPLYING THE COSINE DIFFERENCE IDENTITY TO VOLTAGE (continued) (b) Graph V in the window [0, .05] by [–200, 200]. 5.2-25
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5 Trigonometric Identities Copyrigh
Page 3 and 4:
5.1 Fundamental Identities Fundamen
Page 5 and 6:
Fundamental Identities Pythagorean
Page 7 and 8: Example 1 If and θ is in quadrant
Page 9 and 10: Example 1 (b) cot(- θ) Copyright
Page 11 and 12: Example 2 Express cos x in terms of
Page 13 and 14: Caution When working with trigonome
Page 15 and 16: 5 Trigonometric Identities 5.1 Fund
Page 17 and 18: Hints for Verifying Identities Lea
Page 19 and 20: Hints for Verifying Identities The
Page 21 and 22: Hints for Verifying Identities If
Page 23 and 24: Verifying Identities by Working wit
Page 25 and 26: Example 2 Copyright © 2009 Pearson
Page 31 and 32: Example 5 Right side of given equat
Page 35 and 36: 5 Trigonometric Identities Copyrigh
Page 37 and 38: 5.3 Sum and Difference Identitites
Page 39 and 40: Difference Identity for Cosine Sinc
Page 41 and 42: Difference Identity for Cosine Subt
Page 43 and 44: Cosine of a Sum or Difference Copyr
Page 45 and 46: Example 1(b) Find the exact value o
Page 47 and 48: Cofunction Identities Similar ident
Page 51 and 52: Applying the Sum and Difference Cop
Page 57: Example 5 Copyright © 2009 Pearson
Page 63 and 64: 5.4 Sum and Difference Identities f
Page 65 and 66: Sum and Difference Identities for S
Page 67 and 68: Sum and Difference Identities for T
Page 69 and 70: Sum and Difference Identities for T
Page 71 and 72: Example 1(a) Find the exact value o
Page 73 and 74: Example 1(c) Find the exact value o
Page 83 and 84: 5.5 Double-Angle Identities Double-
Page 85 and 86: Copyright © 2009 Pearson Addison-W
Page 95 and 96: Example 4 Simplify each expression.
Page 97 and 98: Example 6 where V is the voltage an
Page 107 and 108: 5 Trigonometric Identities 5.1 Fund
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Copyright © 2009 Pearson Addison-W
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Copyright © 2009 Pearson Addison-W
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Double-Angle Identities Copyright
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Example 2 Copyright © 2009 Pearson
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Example 3 Copyright © 2009 Pearson
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Example 5 VERIFYING AN IDENTITY Ver
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