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Chapter 12: Application of Trigonometry (95 videos)

12.1: Introduction
1. Solving Right-Angled Triangles Using Trigonometrical Ratios
2. Use of Calculator
 
12.2: Tables of Trigonometric Ratios
1. Tables of Trigonometric Ratios
2. Problem1-Tables of Trigonometric Ratios
3. Problem2-Tables of Trigonometric Ratios
4. Problem3-Tables of Trigonometric Ratios
5. Problem4-Tables of Trigonometric Ratios
 
12.3: Solution of Right Triangles
1. when one Side & Angle of Elevation are Given
2. Problem-When one Side & Angle of Elevation are Given
3. Right Angles in 3-Dimensions
4. More on Right Angles in 3-Dimensions
5. Problem 1: when one Side & Angle of Elevation are Given
6. Problem 2: when one Side & Angle of Elevation are Given
7. when One Side & Angle of Depression are Given
8. Problem 1: when One Side & Angle of Depression are Given
9. Problem2-when One Side & Angle of Depression are Given
10. when Hypotenuse & Angle of Elevation are Given
11. Problem 1: when Hypotenuse & Angle of Elevation are Given
12. when Given Sides-Angle of Elevation-Depression
13. Problem 1: when Given Sides-Angle of Elevation-Depression
14. Problem 2: when Given Sides-Angle of Elevation-Depression
15. Problem3a-when Given Sides-Angle of Elevation-Depression
16. Problem3b-when Given Sides-Angle of Elevation-Depression
17. More Examples on Application of Trigonometry
 
12.4: (a)-Heights and Distances
1. Problem 1: when one Side & Angle of Elevation are Given
2. Problem 2: when one Side & Angle of Elevation are Given
3. Concept of Angle of Elevation & Depression
 
12.5: (b)-Angles of Elevation and Depression
1. Concept of Angle of Elevation & Depression
2. Engineering and Heights and Distances
3. Problem 1: Concept of Angle of Elevation & Depression
4. More on Engineering and Heights and Distances
 
12.6: Engineering and Heights and Distances
1. Concept of Oblique Triangles
2. Engineering and Heights and Distances
3. More on Engineering and Heights and Distances
4. The Sine Rule
5. Problem1-Engineering and Heights and Distances
6. The Cosine Rule
7. Problem2-Engineering and Heights and Distances
8. More on The Cosine Rule
9. The Law of Tangents
10. More on The Law of Tangents
11. Half Angle Formulas
12. The Cosine of Half the Angle in Terms of the Sides
13. The Tangents of Half the Angle in Terms of the Sides
 
12.7: Oblique Triangles
1. When Measures of One Side and Two Angles are Given
2. Concept of Oblique Triangles
3. When Measures of Two Side and Their Included Angles are Given
4. Problem-Concept of Oblique Triangles
5. When Measures of Three Sides are Given
6. The Sine Rule
7. Problem-The Sine Rule
8. Examples on Sine Rule
9. Application of the Sine Rule
10. The Cosine Rule
11. Problem1-The Cosine Rule
12. More on The Cosine Rule
13. The Law of Tangents
14. More on The Law of Tangents
15. Problem-The Law of Tangents
16. Half Angle Formulas
17. Problem-The Sine of Half the Angle Formula
18. The Cosine of Half the Angle in Terms of the Sides
19. Problem-The Cosine of Half the Angle in Terms of the Sides
20. The Tangents of Half the Angle in Terms of the Sides
21. Problem-The Tangents of Half the Angle in Terms of the Sides
 
12.8: Solution of Oblique Triangles
1. Area of Triangle
2. When Measures of One Side and Two Angles are Given
3. Problem-When Measures of One Side and Two Angles are Given
4. Area of Triangle by Measuring One Side and Two Angle
5. Area of Triangle by Measuring Three Sides
6. When Measures of Two Side and Their Included Angles are Given
7. Problem-When Measures of Two Side and Their Included Angles are Given
8. When Measures of Three Sides are Given
 
12.9: Area of Triangle
1. Area of Triangle
2. Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
3. Area of Triangle by Measuring One Side and Two Angle
4. Area of Triangle by Measuring Three Sides
5. More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
6. Relation Among In-Radius, Perimeter & Area of Triangle
7. Problem-Area of Eqilateral Triangle With Given Sides
8. Relation Among ex-Radius, Perimeter & Area of Triangle
9. Area of Equilateral Triangle with Given Sides
10. More on Area of a Triangle with Given Sides
 
12.10: Circles Connected With Triangle
1. Circles Connected With Triangles
2. Engineering and Circles Connected With Triangles
3. Problem-Circles Connected With Triangles
4. Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
5. More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
6. Problem1-Relation Among Radius, Circum-Angle & Chord of a Circum-Circ
7. Relation Among In-Radius, Perimeter & Area of Triangle
8. Problem-Relation Among In-Radius, Perimeter & Area of Triangle
9. Relation Among ex-Radius, Perimeter & Area of Triangle
10. Problem-Relation Among ex-Radius, Perimeter & Area of Triangle
 
12.11: Engineering and Circles Connected With Triangles
1. Engineering and Circles Connected With Triangles
2. Problem-Engineering and Circles Connected With Triangles
 

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