Ib-The unit circle

Σταμάτης Μακρής, Feb 14, 2016

Table of Contents

  1. RADIAN MEASURE
    1. Degrees to Radians
    2. Radians to Degrees
  2. ARC LENGTH AND SECTOR AREA
    1. Find the arc length and area
    2. Find angle and area
    3. Cone from sector
    4. exercise9
    5. exercise10
    6. exercise12
  3. TRIGONOMETRIC RATIOS
    1. EXERCISE 8C-1
    2. EXERCISE 8C-2
    3. EXERCISE 8C-3
    4. EXERCISE 8C-4
    5. Exercise8c-5
    6. All Silly Turtles Crawl
    7. EXERCISE 8C-9
  4. APPLICATIONS OF THE UNIT CIRCLE
    1. Possible exact values of cosθ
    2. Possible exact values of sinθ
    3. Find sin from cos
    4. Find cos from sin
    5. Find tan from sin
    6. Find tan from cos
    7. Find sin & cos from tan
    8. Angles with the same cos
    9. Angles with the same sin
    10. Angles with the same tan
  5. MULTIPLES OF π/6 AND π/4
    1. Multiples of π/4
    2. Multiples of π/6
  6. THE EQUATION OF A STRAIGHT LINE
    1. y=αx
    2. y=ax+b

1.

RADIAN MEASURE

  • 1. Degrees to Radians
  • 2. Radians to Degrees

1.1.

Degrees to Radians

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1.2.

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2.

ARC LENGTH AND SECTOR AREA

  • 1. Find the arc length and area
  • 2. Find angle and area
  • 3. Cone from sector
  • 4. exercise9
  • 5. exercise10
  • 6. exercise12

2.1.

Find the arc length and area

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2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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3.

TRIGONOMETRIC RATIOS

  • 1. EXERCISE 8C-1
  • 2. EXERCISE 8C-2
  • 3. EXERCISE 8C-3
  • 4. EXERCISE 8C-4
  • 5. Exercise8c-5
  • 6. All Silly Turtles Crawl
  • 7. EXERCISE 8C-9

3.1.

EXERCISE 8C-1

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3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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4.

APPLICATIONS OF THE UNIT CIRCLE

  • 1. Possible exact values of cosθ
  • 2. Possible exact values of sinθ
  • 3. Find sin from cos
  • 4. Find cos from sin
  • 5. Find tan from sin
  • 6. Find tan from cos
  • 7. Find sin & cos from tan
  • 8. Angles with the same cos
  • 9. Angles with the same sin
  • 10. Angles with the same tan

4.1.

Possible exact values of cosθ

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4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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5.

MULTIPLES OF π/6 AND π/4

  • 1. Multiples of π/4
  • 2. Multiples of π/6

5.1.

Multiples of π/4

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5.2.

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6.

THE EQUATION OF A STRAIGHT LINE

  • 1. y=αx
  • 2. y=ax+b

6.1.

y=αx

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6.2.

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