Trigonometric Identities

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Verifying <strong>Identities</strong> by Working with Both Sides If both sides of an identity appear to be equally complex, the identity can be verified by working independently on each side until they are changed into a common third result. Each step, on each side, must be reversible. Copyright © 2009 Pearson Addison-Wesley 5.2-15
Example 5 Copyright © 2009 Pearson Addison-Wesley 1.1-16 VERIFYING AN IDENTITY (WORKING WITH BOTH SIDES) Verify that is an identity. Working with the left side: Multiply by 1 in the form Distributive property 5.2-16
Page 1 and 2: 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 27: Example 4 Copyright © 2009 Pearson
Page 31 and 32: Example 5 Right side of given equat
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 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
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Example 3 Copyright © 2009 Pearson
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5 Trigonometric Identities Copyrigh
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5.5 Double-Angle Identities Double-
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Copyright © 2009 Pearson Addison-W
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Example 4 Simplify each expression.
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Example 6 where V is the voltage an
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5 Trigonometric Identities 5.1 Fund
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Double-Angle Identities Copyright
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Example 5 VERIFYING AN IDENTITY Ver
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