While relations and functions are concerned, it may be important to know about the domain and the range which probably have a great significance in the entire scene. What is range? As you may know already, functions and relations take up inputs and outputs. The inputs are the values entered and the output is undeniably … Read more
Definition of trigonometric functions with the help of unit circle With the use of the unit circle, you can easily define the sine, tangent, and cosine functions. In this part, we’ll be redefining these functions in the context of the unit circle. Recalling that the unit circle is the circle which is centrally positioned at … Read more
Measuring angles in radians and in degrees and conversion of one into other Radian Measure of an Angle The measurement of an angle is resolved from the initial side by number of rotation towards the terminal side. One method to measure the angles is in the form of radians. To define, what’s a radian, make … Read more
Angle Meaning The number of rotation concerning the intersection point of the two planes or the two lines which are needed to lead the one in accordance with the alternative one is known as the Angle. The angle can be denoted by 3 letters of the shape which defines the angle, with a middle letter, … Read more
Just like the real numbers which can be divided, multiplied, added, and subtracted to generate other numbers, there’s a helpful way of dividing, multiplying, subtracting, and adding functions for producing different functions. And we describe these operations like the following: Given functions f and g, their sum f + g, difference f – g, product … Read more
The mathematical function is a powerful tool used for business purposes, applications, the sciences, and engineering as they act in a manner of real-world aspect. To clearly understand the concept of functions and relations, you need to plunge a bit into ordered pairs, relations, and sets. A function is illustrated as a special kind of … Read more
The concept of the limit of any function is the basis of all calculus. It is used to define derivation and integration, which form the basis of calculus. Consider a line on a graph where y= f(x). Here, when f(x) goes closer to a particular number L, x gets closer and closer to c from … Read more
Derivative introduced as rate of change both as that of distance function and geometrically A rate can be explained as the comparison between two quantities of different kinds. A common rate that we use as a physical quantity is a speed. Speed is defined as the rate of distance traveled per unit of time. Also, … Read more
Introduction to Three–dimensional Geometry: the distance between two points and the section formula The familiar formula for the distance between two points in a plane is easily extended from 2D geometry to the following 3D formula. To prove this equation, construct a rectangular box as shown, where: P1 and P2 are opposite vertices.The faces of the … Read more
Introduction to Three–dimensional Geometry: Coordinates of a point In a 3D plane, assume that P is any point in space. In this place, let a be the (directed) distance from the yz-plane to P, let b be the distance from the xz-plane to P, and let c be the distance from the xy-plane to P. … Read more