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Hi! My name is Vaibhav, and today we will learn about functions. Functions are very important concept, both for your engineering entrance exams and also to understand various concepts in mathematics. It's a very fundamental concept, and is used to describe a lot of phenomenon, including physical and chemical phenomena. And, also a lot of chapters we will learn further on such as limits, derivatives, continuity or be it any other chapter in mathematics, knowing functions is very important. It is a very fundamental chapter. It has various definitions, and so a lot of use for the next topics that you will learn. So, we will start with an intuitive definition of functions. Something that we will try to understand using examples, and then we will try to go into a more mathematically precise definition. Functions are used to describe, a special relation between two variables. So, here the word "relation" is a mathematical concept that we will understand later; but...

Hi! I'm Pritish Today, we will be talking about Trigonometry. This is the first video on Trigonometry. I would like to start with "Why do we want to study Trigonometry?" and "What is Trigonometry?" You would certainly know that Euclidean geometry is very fundamental to how we think about nature. The way we visualize things in Physics, for example, we use Euclidean geometry in the way we think. And often, Euclidean geometry requires some amount of innovative thinking to reason about problems. And often when you want to talk about Physics, you don't want geometry to be your bottleneck in thinking about Physics. So Trigonometry and Coordinate Geometry are two subjects which try to make a more systematic study of Geometry. And what is "Trigonometry"? Trigonometry is about a study of angles in an "algebraic" way. You would feel more comfortable doing Algebra Algebra is something you can do in a more mechanical way. Whereas, Geome...