Trigonometric Identities

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Hints for Verifying <strong>Identities</strong> As you select substitutions, keep in mind the side you are not changing, because it represents your goal. For example, to verify the identity find an identity that relates tan x to cos x. Since and the secant function is the best link between the two sides. Copyright © 2009 Pearson Addison-Wesley 1.1-7 5.2-7
Hints for Verifying <strong>Identities</strong> If an expression contains 1 + sin x, multiplying both the numerator and denominator by 1 – sin x would give 1 – sin2 x, which could be replaced with cos2x. Similar results for 1 – sin x, 1 + cos x, and 1 – cos x may be useful. Copyright © 2009 Pearson Addison-Wesley 1.1-8 5.2-8
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: Hints for Verifying Identities The
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 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
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Example 1(a) Find the exact value o
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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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Trigonometric Identities

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