In geometry, a polygon or a geometrical shape with 16 sides is called a hexakaidecagon or hexadecagon. This is also known as 16-gon. The measure... View Article
There are three basic laws of probability. They are given below along with the representations. Addition rule: P(A ⋃ B) = P(A) + P(B) - P(A ⋂... View Article
In maths, the complement of an event is the subset of outcomes in the sample space that do not belong to the event. A complement is itself an... View Article
A hyperbola is made up of two parabolas or curves that are mirror reflections of each other. The two parabolars or curves open to the left and... View Article
The terms derivative and differentiate both are related to each other. As we know, the derivative of a function describes an instantaneous rate... View Article
In general, any number divided by 0 equals to infinity. Let us take 1 divided by 0. 1/0 = ∞ From this, we can also write as given below: 1/∞... View Article
Calculus is the mathematical study of continuous change. The two major branches of calculus are differential calculus and integral calculus. As... View Article
Yes, cotangent is equal to cosine over sine. Thus, cotangent function for an angle θ can be written as: cot θ = cos θ/sin θ This can be derived... View Article
We know that, sin 2x = 2 sin x cos x This can be written as: 2 sin x cos x = sin 2x sin x cos x = (½) sin 2x Alternative method: sin (A +... View Article
No, the inverse of a function is different from the reciprocal of the function. We know that cosecant (i.e., csc) is the reciprocal of the sine... View Article
In probability, the Central Limit Theorem (CLT) states that the distribution of a sample mean that approximates the normal distribution, as the... View Article
Suppose f(x) is a function and f-1(x) is the inverse of f(x). Now, if the the function f(x) is differentiable at f-1(x) and its derivative is not... View Article
In India, the father of trigonometry is Aryabhata I, also known as the father of zero. He is an Indian mathematician and astronomer. Aryabhata... View Article
In maths, slope is a number that describes the direction of the line or steepness of the line. In general, the slope of a line denoted by the... View Article
In calculus, the tangent line touches the curve at exactly one point and this line has the same slope as the curve at that point. The line which... View Article
Some of the important properties of functions are listed below: A function is said to be a constant function whose values do not change for... View Article
In permutations, the number of ways of selecting objects from a given set of objects can be written as nPr. nPr = n!/ (n - r)! Here, r =... View Article
When a die is rolled (or thrown), we get the outcomes as: {1, 2, 3, 4, 5, 6} That means, the total number of outcomes = n(S) = 6 Let E be the... View Article
In maths, OR is treated as a union of sets, whereas in probability OR means the occurrence of either of the events. Suppose A and B are the two... View Article
