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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
    |
    2 Quizzes
  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



Lesson 1, Topic 2
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Finding the Tangent by Drawing and Measurement

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Topic Content:

  • Finding the Tangent by Drawing and Measurement

Example 1.2.1:

By drawing and measurements find the size of the angles to the nearest degree whose tangents are: 

(a) \( \frac{3}{5} \)

(b) \( \frac{3}{8} \)

(c) \( \frac{7}{20} \)

Solution

(a) \( \frac{3}{5} \)

Tan θ = \( \frac{3}{5} \)means opposite is 3 cm and adjacent is 5 cm 

The lengths of the opposite and adjacent are in the ratio 3 : 5. Thus the lengths could be 3 cm and 5 cm, or 6 cm and 10 cm, etc. The bigger the scale or drawing, the better the chance of accurate measurement.

These are the steps to find the size of the angle by drawing and measurements:

Step 1: Draw a 5. cm horizontal line. This line is adjacent.

Screenshot 2023 12 12 at 07.03.00

Step 2: Draw a 3 cm line which is perpendicular to the first line. This is the opposite side.

Screenshot 2023 12 12 at 07.05.56

Step 3: Complete the triangle by joining both lines

 

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