Introduction to Trigonometry
This lesson covers the basic concepts of trigonometry, including the measurement of angles and the definition of trigonometric functions. It explains the types of angles, the use of protractors for measuring angles, and the concept of quadrants in relation to angles. The lesson also introduces plane
- 00:02 “My name is John Ogbodo. I'll be looking at today, what's the called trigonometry, ratios of special angles and the topic is, or the subject is photo mathematics. So under this, we are going to understand and look at the...”
- 01:33 “So trig is a very wide subject. Now, two major aspects of trigonometry are plane, trig and spherical trigonometry. And plane trigonometry is concerned with angles, triangles and other figures which lie on the plane. And...”
- 02:20 “from one position to another about the fixed point on it. So we look at the term intercession of two lines. Let's call this line two and line one. When the two of them intersect at points o, they form an angle. This angl...”
Trigonometric Ratios
This lesson covers the identification of sine, cosine, and tangent of an acute angle. It explains how to apply these trigonometric ratios to solve problems involving distances and lengths in right-angled triangles. The relationship between the sides and angles of triangles is also discussed.
- 04:14 “sine. Adjacent over hypotenuse for cause and opposite over adjacent for tan. You could apply to solve a right angle triangle. Now let's pick an example one. So we will have an idea of the o analysis and its application....”
- 05:05 “is a right angle triangle given in this form. Let's have a right angle triangle given drawn down. The longer side which is the hypotenuse. The longer side is given to be what? 20. This opposite is 12. Opposite to the ang...”
- 00:49 “ratio to finding distance and length? And three apply trigonometry ratio in solving what problems? Boops straight up. Now trigonometry ratio is applied on a triangle. You see that a triangle has three sides. So the right...”
Plane Figures and Their Properties
This lesson covers the identification and properties of various plane figures such as squares, rectangles, triangles, and circles. It explains how to calculate the area and perimeter of these shapes. The lesson also includes the classification of triangles their sides.
- 03:48 “All angles are equal. Each angle is 90 degrees, just like in the case of a rectangle. The diagonal lines bisect each other at the right angle, 90 degrees, and it has four lines of symmetry. Triangle classification accord...”
- 02:47 “Identifying plane shapes. Properties of a rectangle. The opposite sides are equal and parallel. It has equal angles. Each angle at 90 degrees. For a rectangle, each angle is at 90 degrees. This is 90 degrees, 90, 90, and...”
- 09:20 “They are four interior angles equal 90 degrees and opposite sides are parallel to each other. Differences include, for a square, all sides are of equal length, only the opposite sides are of equal length for a rectangle....”
Similar Shapes
This lesson covers the identification of similar shapes such as triangles, rectangles, squares, cubes, and cuboids. It explains the criteria for similarity, including proportional sides and equal angles. The lesson also includes methods for enlarging figures using scale factors and calculating lengt
- 14:22 “other side by this other side, so you could have a complete factor, factored out, so let's add the complete, so we have the other side, the torched side, that's from Africa 3, those add the torched sides, and what the to...”
- 26:10 “length of it, and it's 1.5 meter tall, the length of olatical shadow changes throughout the day, its length changes throughout the day, now olatical stands in the shadow of the lamp pool, stands in the shadow of the lamp...”
- 13:32 “is given to be what, 0.5 divided by 5, like I said, you could multiply by 10 to take away this point, so that will give us automatically another 2.5, now, take note, the sides of the first, give me 2.5, the sides of the...”
Distance and Displacement
This lesson explains the concepts of distance and displacement in translational motion. It covers how to measure distance without considering direction and how displacement includes both distance and direction. The lesson also discusses the position of an object in relation to a reference point.
- 01:37 “the body is moving from on the 4-cardinar point. I'm still going to make reference to this. On the 4-cardinar point, we have 4 different axes, which include, this is always the positive for those that are mathematically...”
- 00:49 “So this point of reference could be the starting point when we consider a 4-cardinar point. And for a 4-cardinar point from elementary or elementary mathematics, we have 4-cardinar points which include the knots, the wes...”
- 15:09 “So the next one is caliper. Caliper is another interesting and important measuring device and is having an accuracy of about 0.001. What this implies is that a caliper measure more accurate than the tape and the ruler. F...”