1.4 Trigonometry - PowerPoint PPT Presentation

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1.4 Trigonometry

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1.4 Trigonometry Uses of Trigonometry Lets you find the length and measure of angles of right triangles Sine Cosine Tangent Definitions = angle hyp = hypotenuse ... – PowerPoint PPT presentation

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Title: 1.4 Trigonometry


1
1.4 Trigonometry
2
Uses of Trigonometry
  • Lets you find the length and measure of angles of
    right triangles
  • Sine
  • Cosine
  • Tangent

3
Definitions
  • ? angle
  • hyp hypotenuse (longest side)
  • opp side opposite (not touching) the angle
  • adj side adjacent (touching) the angle

4
Formulas
SOH CAH TOA
5
Example 1
  • Find side c
  • c 11.8
  • Find side a
  • a 10.7

6
Example 2
  • Given 2 sides, find the angle
  • Find A
  • A 58.0
  • Find B
  • B 32.0

7
Other Rt Triangle Tools
  • If given 2 side, find 3rd side
  • Use Pythagorean Theorem
  • a2 b2 c2
  • C is the hypotenuse
  • If given 2 angles, find 3rd angle
  • Sum of angles 180
  • A B C 180

8
Example 3 Word Problem
  • A trees shadow is 3 m long and the sun is at 60
    above horizontal. Find the height of the tree.
  • Height 5.20 m

9
Practice Work
  • You should now be able to complete
  • 19 CQ6, 7, P11 16
  • Total of 8 problems
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