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JSS3: MATHEMATICS - 2ND TERM

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  1. Trigonometry I | Week 1
    3 Topics
    |
    1 Quiz
  2. Trigonometry II | Week 2
    4 Topics
    |
    1 Quiz
  3. Trigonometry III | Week 3
    5 Topics
    |
    1 Quiz
  4. Similarity I | Week 4
    3 Topics
    |
    1 Quiz
  5. Similarity II | Week 5
    3 Topics
    |
    1 Quiz
  6. Similarity III | Week 6
    2 Topics
    |
    1 Quiz
  7. Similarity IV | Week 7
    2 Topics
    |
    1 Quiz
  8. Variation I | Week 8
    3 Topics
    |
    1 Quiz
  9. Variation II | Week 9
    2 Topics
    |
    1 Quiz
  10. Calculations Involving Standard Form | Week 10
    4 Topics
    |
    1 Quiz
  11. Compound Interest | Week 11
    4 Topics
    |
    1 Quiz



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Lesson 1, Topic 1
In Progress

Trigonometric Ratios: Tangent, Sine and Cosine Ratios

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A trigonometric ratio is a ratio of the lengths of two sides of a right-angled triangle. The three trigonometric ratios are: 

  1. Sine (Sin)
  2. Cosine (Cos) 
  3. Tangent (Tan)

 A right-angled triangle may be labeled as shown below 

Screen Shot 2021 01 13 at 11.29.30 PM

Hypotenuse

The longest side is called the hypotenuse. It is the side opposite the right angle 

Opposite: This is the side opposite the angle under consideration. 

Adjacent: It is the side next or adjacent to the angle you are using. 

AC is the adjacent side to angle θ

Tangent of an Angle 

In any right-angled triangle, the ratio \( \frac {opposite}{adjacent} \)  is called the tangent 

Tan θ  = \( \frac {OPP}{ADJ} \)

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