We can differentiate cos x using the first principle of derivatives. This can be done as shown below: d/dx (cos x) = limh→0 [cos(x + h) - cos... View Article
Geometry deals with the position, shape and properties of different objects that we see in our daily life. It includes the study of various... View Article
Based on different situations, a2 + b2 (a square plus b square) can be represented as given below: In algebraic identities, a2 + b2 = (a + b)2 -... View Article
Two lines or line segments are said to be perpendicular if the angle of inclination between them is exactly 90 degrees. When two line segments... View Article
The formula for calculating the simple interest on a given principal amount P, rate of interest R, and time T(in years) is given by: SI =... View Article
Arthur Cayley was a great mathematician and known as the father of matrices. He was born on 16th August 1821. In 1858, Arthur Cayley published... View Article
Coordinate geometry is the connection of those concepts of Euclidean geometry on the coordinate system with at least two axes, namely x-axis and... View Article
FOIL is the acronym that means, first outer, inner, last. This method is used to multiply binomials to avoid confusion and to get an accurate... View Article
The symbol ∈ (epsilon) symbolises the set membership that means “is an element of”. Consider the expression b ∈ B. This means b is an element of... View Article
The difference between the sin and cos graphs in trigonometry can be observed from the below figure: Here, the graph of sin crosses the x-axis... View Article
Bayes theorem determines the probability of an event based on the prior knowledge of conditions that might be related to that event. For example,... View Article
In linear algebra, a triangular matrix is a special type of square matrix. If all the elements below the main diagonal of a square matrix are... View Article
To understand how to perform multiplication of 3x3 matrices, have a look at the example given below: Let Now, AB11 = 1(1) + 2(2) + 3(3) = 1... View Article
In geometry, a diagonal is a line segment that joins two opposite vertices (not belonging to the same edge) of a polygon or polyhedron. A... View Article
The method of calculating interest paid on a certain loan or the principal amount at a particular rate of interest for the given period of time... View Article
As we know, the formula to find permutations for selection of ordered arrangement of r objects from a group of n objects is given by: nPr =... View Article
Given the principal amount is Rs.10000 Let the rate of interest is 5% and the time duration of interest is 2 years. Now let us find the... View Article
Compound interest is calculated over a principal amount that the bank has to pay back to depositors as a benefit of their deposits to the bank.... View Article
The equation for a sine graph (also known as sine waves or sinusoidal waves) is given by: y = sin x Where y denotes the sine function. The... View Article
Cosine function is used to find the unknown angle of a right angle triangle, when the adjacent side and hypotenuse is given. Cos x = Adjacent... View Article
