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
- 20:34 “by using length over the theta in radians. So we take note of these two special angles. OK, so if you are giving an example such that the angle subtended at the center is in radians, let's consider this sector of a seco....”
- 21:22 “That is the length of the arc in terms of pi. But remember that your theta here is in radians. Theta equal to 4 pi. OK, so with that, we move on to the subsequent one, where we look at all that relationship in terms of l...”
- 22:54 “So we have the theta as 32. And the divided by 360 degrees times 2 pi radius. Radios is 620 meters. We can convert 360 degrees to radians. We have 32 divided by 2 pi times 2 pi, then times 620. So with this, this can do...”
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.
- 02:29 “tan which is popularly called soca tua. Now how do we arrive at that? Peking the first one. Let's do an analysis of this triangle on the board. Now we have sine, sine theta. Sine theta is opposite over adjacent. We say o...”
- 06:42 “A sign is opposite. What's your opposite? Your opposite here. You have as what? The opposite here is what? 12. And what's your hypotenuse? Your hypotenuse is the longer side which is 20. So you could also continue to go...”
- 01:40 “in trigonometry we live at the three sides of the triangle. So we say the trigonometry is derived from the Greek word trigonometry. Means triangle and metro means measure. So we'll be measuring triangles. But it's a bunc...”
Projectile Motion
This lesson covers the definition of projectile and projectile motion. It explains the concepts of time of flight, maximum height, and range, along with the relevant equations and examples from sports and warfare.
- 10:28 “The object has landed. So we now substitute the horizontal. Now, we have R equal to U cos theta horizontal. And times our capital letter T, I hope you remember, 2U sin theta over G times 2U sin theta over over G. So afte...”
- 13:36 “So by inserting our parameters in this formula, we have U squared U is 200 squared times sin squared theta means the square of the sine of the angle, the angle is 45 degrees. So sin 45, all squared, so we have sin 45 deg...”
- 11:17 “over G. So these are formula for the range of projectile. Yeah, so R equal to U squared sin 2 theta over G. When theta is 45 degrees, we say that range is maximum. At 45 degrees, our range is maximum. So 2 theta, that's...”
Heat and Temperature
This lesson covers the definitions of heat and temperature, their differences, and the effects of heat on substances. It explains the kinetic molecular theory and how heat causes changes in state, such as solid to liquid and liquid to gas.
- 23:11 “multiplied by theta 2 minus theta 1. And that is equal to L2 minus L1 equals L1 multiplied by alpha, multiplied by theta 2 minus theta 1. Our L1 is 250,000 multiplied by the initial length, which is, we have this 0.001,...”
- 20:35 “For example, the original length, L1, equals 10.0 meter, and L2 equals 10.50 meter. Our theta 1 equals 30 degree, and theta 2 equals 80 degree. Now, using our formula, linear expansivity equals L2 minus L1, L1, multiplie...”
- 22:20 “which is 2 already 50 kilometer long. What is partial is produced when the temperature rises from 30 degree to 60 degree, if the linear expansivity is still 0.001 per kV. Now, our theta equals 30 degree, and our theta 2...”
Work, Energy and Power
This lesson covers the definitions of work, energy, and power. It includes calculations for work done, gravitational potential energy, and power in watts. The lesson also distinguishes between kinetic and potential energy and explains energy transformation and the law of conservation of energy.
- 04:48 “cos theta. Where theta equals angle of inclination of the force? And from here, don't drag a bag of bins with the force of 800 Newton. F equals 800 Newton. The angle of inclination here is 60 degree.”
- 05:35 “And the distance, which is D, is 4-3 m. Now, using our formula, W cos F D cos theta, our F is 8 on grid multiplied by D, which is 4-3 cos 60 degree. And that is 8 on grid multiplied by 4-3 multiplied by 0.5. Since our co...”
- 04:00 “And that is 300 Jews or 300 Newton-Meta. Another example, where we have situations in which a force is applied to a body at an inclined angle theta. The formula will change a little bit. And that would be F multiplied by...”