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Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
Trigonometry 1
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Trigonometry 1

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Introduction to sine, cosine and tangent

Introduction to sine, cosine and tangent

Published in: Education, Technology, Travel
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  • 1.  
  • 2.
    • Explain the term trigonometry.
    • Identify the three trigonometric ratios that apply to right angle triangles.
    • Calculate values for the three trigonometric ratios that apply to right angled triangles.
  • 3.
    • Deals with the measurements of the sides and angles of triangles and their relationships with each other.
    • For right angled triangles there are six trigonometric ratios that apply.
    • We use the following three ratios in the main.
  • 4. Sine Ɵ = opposite__ hypotenuse Cosine Ɵ = adjacent__ hypotenuse Tangent Ɵ = opposite adjacent
  • 5.
    • SOHCAHTOA .
    • S ine Ɵ = O pposite___ SOH
    • H ypotenuse
    • C osine Ɵ = A djacent__ CAH
    • H ypotenuse
    • T angent Ɵ = O pposite_ TOA
    • A djacent
  • 6.
    • Find the unknown angles in the following triangle.
    3m 5m 4m Ø
  • 7.
    • Since we know the length of each side we can use any of the three ratios to find Ɵ and Ø.
    • Sin Ɵ = _ opposite__ = 3m = 0.6
    • hypotenuse 5m
    • Cos Ɵ = _ adjacent__ = 4m = 0.8
    • hypotenuse 5m
    • Tan Ɵ = opposite = 3m = 0.75
    • adjacent 4m
    Ø 5m 4m 3m
  • 8.
    • To find Ɵ you should use your calculator.
    • Sin Ɵ = opposite = 3m = 0.6
    • hypotenuse 5m
    • Sin Ɵ = 0.6
    • Ɵ = Sinˉ¹ 0.6
    • Ɵ = 36.87°
    5m 4m 3m Ø
  • 9.
    • Ø can be found from 180 - 90 - 36.87 = 53.13 °
    • This can be proved by trigonometry .
    • Sin Ø = _ opposite__ = 4m = 0.8 Ø = 53.13 °
    • hypotenuse 5m
    • Cos Ø = _ adjacent__ = 3m = 0.6 Ø = 53.13 °
    • hypotenuse 5m
    • Tan Ø = opposite = 4m = 1.33 Ø = 53.13 °
    • adjacent 3m
  • 10. 3m 5m 4m Ø Ɵ = 36.87° Ø = 53.13°
  • 11.
    • Explain the term trigonometry.
    • Identify the three trigonometric ratios that apply to right angle triangles.
    • Calculate values for the three trigonometric ratios that apply to right angled triangles.

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