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
Suppose (x, y) be the Cartesian coordinates of a point. To convert this point to polar form, below formulas should be used. We know that, x = r... View Article
A complex number is of the form z = x + iy, where x is the real part of z and y is the imaginary part of z. If x = 0, the z is called a purely... View Article
Suppose f(x) and g(x) are the two functions such that the product of these two functions result in the third function, say h(x). This can be... View Article
Secant is one of the six important and basic functions of trigonometry. We know that secant is the reciprocal of cosine function. Inverse of... View Article
The total number of outcomes of tossing 2 coins at a time = 22 = 4 i.e. {HH, HT, TH, TT} That means, n(S) = 4 Let E be the event of getting 2... View Article
Multiplication of two matrices is possible only when the number of columns of the first matrix should be equal to the number of rows of the... View Article
We use combinations to calculate the total number of outcomes of an event where the order of the outcomes does not matter. The formula to... View Article
