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Mat 161 PreCalculus

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Trigonometric Identities. Reference: Algebra and Functions. Blitzer. 3rd Edition. Trigonometric Identities. Find the exact value of the following using. the ... – PowerPoint PPT presentation

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Title: Mat 161 PreCalculus


1
Mat 161 - PreCalculus
  • Double Angle and Half Angle Formulas
  • (Section 6.3)

2
Trigonometric Identities
  • Identities
  • sin(2A) 2sinAcosB
  • 2) cos(2A) cos2A sin2A
  • 3) tan(2A)

3
Trigonometric Identities
  • Use the above identities to find the exact value
    of,
  • given that sin A -1/3 and and A is in quadrant
    IV.
  • sin(2A)
  • cos(2A)
  • tan(2A)
  • cot(2A)

4
Trigonometric Identities
  • Verify the identity

5
Trigonometric Identities
  • Identities
  • sin( )
  • 2) cos( )
  • 3) tan( )

6
Trigonometric Identities
  • Use the above identities to find the exact value
    of,
  • given that cot A -3 and and A is in quadrant
    IV.
  • sin(A/2)
  • cos(A/2)
  • tan(A/2)
  • cot(A/2)

7
Trigonometric Identities
  • Use the above identities to find the exact
  • value of
  • sin(15)
  • cos(75)
  • tan(112.5)
  • tan(7?/8)

8
Trigonometric Identities
  • Reference
  • Algebra and Functions
  • Blitzer
  • 3rd Edition

9
Trigonometric Identities
  • Find the exact value of the following using
  • the following triangle.
  • sin(2A)
  • tan(2A)
  • cos(A/2)
  • Tan(A/2)

7
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