A Maclaurin series is a function that has expansion series that gives the sum of derivatives of that function. The Maclaurin series of a function... View Article
We have to prove that tan(180-x) = -tan(x) We know the identity tan(A-B) = [(tan A – tan B)/(1 + tan A tan B)] Now we will substitute A =... View Article
The number of positions in which a figure can be rotated and still appears exactly as it did before the rotation, is called the order of... View Article
A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments... View Article
A rectangular array of m x n numbers (real or complex) in the form of m horizontal lines (called rows) and n vertical lines (called columns), is... View Article
We need to evaluate the integral of 1/(1+x2) Let us assume that I= Substitute x= tan u dx=sec2uduu = arctan x----------(i) So I= = = =u... View Article
The square root of any number is equal to a number, which when squared gives the original number. Let us assume that m is a positive integer,... View Article
Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime... View Article
LCM is the method to find the smallest possible multiple of two or more numbers. LCM stands for Least common multiple. LCM of two numbers is... View Article
We have to find the square root of 105 To find the square root of 105 we will factorise it first Here we have to find the prime factors of... View Article
The value which refers to the distance of a number from the origin of a number line is called absolute values. It is represented as |a|, which... View Article
We have to find the square root of 1600 To find the square root of 1600 we will factorise it first Here we have to find the prime factors of... View Article
A centimeter is a unit of length in the International System of Units (SI), the current form of the metric system. It is defined as 1/120 meters.... View Article
We have to simplify sec x / tan x sec x / tan x We will express sec x and tan x in terms of sin and cos sec x / tan x = 1/ cos x / sin x /... View Article
0/ 4=0 So 0/4 is defined. 0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an... View Article
We have to prove cos theta / 1-sin theta + 1-sin theta / cos theta =2 sec theta Let us start with LHS cos theta / 1-sin theta + 1-sin theta... View Article
We have to find (n+1)! (n+1)!= n! . (n+1)! Since factorial n(or n!) is the product of all numbers up to and including n, we only have to... View Article
