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Introduction to Trigonometry

video lesson SS2 · Further Mathematics · 27:08

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

  • 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...”
  • 00:48 “We also look at, by extension, what we call the Pythagoras theorem and what we call the Sokatoa. So what's this trig? Basically, the word trig came from the Greek word and the Greek word means measurements of triangles o...”
  • 26:04 “And when we do that, we apply the same concept in solving it using the concept of radian and degree relations. So we have the following exercises we can solve. Convert the following radian measure to degrees and convert...”
trigonometry angles trigonometric functions plane trigonometry spherical trigonometry

Trigonometric Ratios

video lesson JSS3 · Mathematics · 14:38

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.

  • 00:00 “Hello, my name is Oyase, Sunday I'll be taking you mathematics for JSS3 and we have an interesting topic for today, which is trigonometry, an aspect of our measurement and geometry. And the question is what to be the foc...”
  • 12:39 “aspect of the evolution. After solving those two, we do the individual evolution where you expected to rule apply. Now a person standing at a point A, this, a sign at a point A, and looking up at a satellite dish at the...”
  • 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...”
trigonometry sine cosine tangent acute angle right-angled triangle

Plane Figures and Their Properties

video lesson JSS1 · Mathematics · 13:59

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.

  • 11:42 “So we just impute, substitute our values into the equation. Therefore, 80 is into bracket 2. It is equal to 2 bracket length plus breadth, which is 18. To solve that, we divide both sides by 2 to eliminate 2 on the other...”
  • 12:31 “The circumference of a circle, which is 2 pi r, so we have 2 times 3.3 raised to 3, 1 of a 7 times 3 and a half, equals 2 times 22 of a 7 equals 7 of a 2, which is 2 times 11. And we have 22 meters. So the circumference...”
  • 10:55 “Therefore, the perimeter of the field is 180 meters. Moving on to the second question. A rectangle has a perimeter of 80 meters. Find the length of the rectangle if its breadth is 18 meters. From the question you see, we...”
plane figures properties area perimeter triangles

Similar Shapes

video lesson JSS3 · Mathematics · 33:04

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...”
  • 25:22 “these 2, if it cannot be in this form then your answer is wrong, now the last part is applying it to water problem, how do we apply it to water problem, how using your scalar factor to solve a problem, olatical wants to...”
  • 26:56 “forms a triangle, and is shown in the diagram, this is the diagram, olatical is standing, it wants to know how tall it is, the lamp pool is there, from the side to olatical is 2 meter, then the entire length from from wh...”
similar shapes geometry proportionality scale factors sides length side similar