Simplifying expressions means rewriting the same algebraic expression with no like terms and in a compact manner. To simplify expressions, we combine all the like terms and solve all the given brackets, if any. In the simplified expression, we will only be left with unlike terms that cannot be reduced further. Learn more about simplifying … Read more

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval … Read more

If an exponent of a number is a fraction, it is called a fractional exponent. Exponents show the number of times a number is replicated in multiplication. For example, 42 = 4×4 = 16. Here, exponent 2 is a whole number. In the number, say x1/y, x is the base and 1/y is the fractional exponent. … Read more

Coordinate planes are two-dimensional planes formed by the intersection of a vertical line known as the y-axis and a horizontal line known as the x-axis. Lines intersecting at zero are called perpendicular lines, and this is the origin. What is a Coordinate Plane? Coordinate planes are two-dimensional surfaces formed by two number lines. It is … Read more

How to find the area of a polygon? The area of a polygon is defined as the area that is enclosed by the boundary of the polygon. In other words, we say that the region that is occupied by any polygon gives its area. In this lesson, we will learn to determine the area of … Read more

Derivative of Arctan: Before going to see what is the derivative of arctan, let us see some facts about arctan. Arctan (or) tan-1 is the inverse function of the tangent function. i.e., If y = tan-1x then tan y = x. Also, we know that if f and f-1 are inverse functions of each other then f(f-1(x)) … Read more

Functions in mathematics can be compared to the operations of a vending (soda) machine. When you put in a certain amount of money, you can choose different types of sodas. Similarly, for functions, we input different numbers and we see new numbers as the result. Domain and range are the principal aspects of functions. You … Read more

How to Find the Radius of a Circle? Formula & Example How to find the radius of a circle? A circle’s radius is one of its most important components. It is the distance between the center of a circle and any point on its boundary. In other words, when we connect the center of a … Read more

Before going to determine the derivative of sec x, let us recall a few things. sec x is the reciprocal of cos x and tan x is the ratio of sin x and cos x. These definitions of sec x and tan x are very necessary to do the differentiation of sec x with respect … Read more

How to find arc length? A part of a curve or a part of a circumference of a circle is named Arc. All of them have a curve in their pattern. The curved portion of these things is mathematically called an arc. Arc length is better defined as the distance along the part of the … Read more