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Mat 152 - Trigonometry

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Given an acute angle ? in a right triangle we have sin ?. cos ?. tan ?. csc ?. sec ?. cot ? ... Find the six trigonometric values of ? in the given right ... – PowerPoint PPT presentation

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Title: Mat 152 - Trigonometry


1
Mat 152 - Trigonometry
  • Right TriangleTrigonometry
  • Section 6.5

2
Right Triangle Trigonometry
  • Given an acute angle ? in a right triangle we
    have sin ?
  • cos ?
  • tan ?
  • csc ?
  • sec ?
  • cot ?

3
Right Triangle Trigonometry
  • Observations/Cofunction Identities
  • 1) sin? cos(90º- ?) 4) cot? tan(90º-
    ?)
  • 2) cos? sin(90º- ?) 5) sec? csc(90º-
    ?)
  • 3) tan? cot(90º- ?) 6) csc? sec(90º-
    ?)

4
Right Triangle Trigonometry
  • Use a calculator to compute the following
    values.
  • a) sin(27º)
  • b) tan(3p/7)
  • c) sec(13º)
  • d) cot(11p/17)

5
Right Triangle Trigonometry
  • At a certain time of day, the angle of
    elevation from the edge of Lake Jovita at point P
    to the top of the new building is 34º. To the
    nearest foot, find the height of the new building
    that is 45 ft from P.

6
Right Triangle Trigonometry
  • Reference
  • PreCalculus
  • Cohen
  • 4th Edition
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