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

Inverse trigonometric functions are the inverse functions of the basic trigonometric functions: sine, cosine, and tangent. To define these inverse functions, we need to restrict the domain and range of the original functions so that they become one-to-one and onto. Here are the domain and range for each of the primary inverse trigonometric functions: Domain:

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

This post we will see given a function, how to check if it is one-one function or not. Lets first start with the definition of the one-one functions Definition of one-one functions A function f: A-> B is said to be one-one if, and only if, for all elements a1 and a2 in A, if