Maths

We often need to convert inverse of cos to either inverse of sin, tan, sec, cosec , cot .In this post we will see how we can do it easily Inverse of cos to inverse of sin Case 1$cos^{-1} x$ and x > 0 Now we can write as $\theta=cos^{-1} x$$cos \theta =x$ Now we […]

We often need to convert inverse of sin to either inverse of cos, tan, sec, cosec , cot .In this post we will see how we can do it easily Inverse of sin to inverse of cos Case 1$sin^{-1} x$ and x > 0 Now we can write as $\theta=sin^{-1} x$$sin \theta =x$ Now we

What is odd functions An odd function is a function f(x) that satisfies the property f(-x) = -f(x) for all x in the domain of the function. In other words, an odd function is symmetric with respect to the origin. Geometrically, an odd function has the property that if you rotate the graph of the

What is even functions Examples (1) Polynomial functions Any polynomial with only even degree terms is an even function. For example, f(x) = 6×8 – 6×2 – 5. f(-x)= 6(-x)^8 -6(-x)^2 – 5 =6x^8 -6x^2 -5= f(x) (2) Cosine Function [cos(x)] The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right-angled

Inverse Trigonometric Function Formulas Inverse Trigonometric Functions are important topic in Trigonometry. Here is detailed list of Inverse Trigonometric Function Formulas Domain and Range Of Inverse Trigonometric Functions The value of an inverse trigonometric functions which lies in its principal value branch is called the principal value of that inverse trigonometric functions Graph of Inverse

In this post, we will checking how to prove a function is one-to-one graphically .Examples and Problems are also given to help the student. This will also answer the question How do you know if the function is one-one how to prove a function is one-to-one graphically We can prove using Horizontal line test. What

What is Many one Function A many-to-one function is a function in which multiple elements in the domain may map to the same element in the range. In other words, a single element in the range can have more than one preimage in the domain. Definition A function f : A -> B is said

This post we will see given a function, how to check if it is onto function or not. Lets first start with the definition of the onto functions Definition of onto functions A function f: A-> B is said to be onto(surjective) if every element of B is the image of some element of A