Maths

Indeterminate forms are mathematical expressions that cannot be evaluated directly because they result in an ambiguous or undefined value. These forms arise when attempting to evaluate limits or perform certain operations involving variables or functions. The 7 most common indeterminate forms encountered in calculus and mathematical analysis are: 7 Indeterminate forms 1.$\frac {\infty}{\infty}$ This form […]

The wavy curve method is also known as the “sign-chart” method. It is a technique used in mathematics to solve inequalities, particularly those involving trigonometric, polynomial, and rational functions. It’s a graphical representation that helps us understand the nature of the function and the intervals where it’s positive or negative. How wavy curve method works?

Here in this post ,we will check out how to draw the graph of cot inverse cot x i.e $f(x) = cot^{-1} cot (x)$ As $cot (\pi +x ) = cot x$ This is a periodic function with period $\pi$ Also x cannot take values like $n \pi$ as undefined We know by definition $f(x)

Here in this post ,we will check out how to draw the graph of sec inverse sec x i.e $f(x) = sec^{-1} sec (x)$ As $sec (2\pi +x ) = sec x$ This is a periodic function with period $2\pi$ Also x cannot take values like $\frac {2n+1}{2} \pi$ as undefined We know by definition

Here in this post, learn how to draw the graph of cosec inverse cosec x($csc^{-1}(csc(x))$) step-by-step with clear instructions and examples in this comprehensive guide. Here, we will understand how to draw the graph of cosec inverse cosec x i.e $f(x) = cosec^{-1} cosec (x)$ As $cosec (2\pi +x ) = cosec x$ This is

Arithmetic Progression Formulas Arithmetic Progression Arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is always constant. This constant difference is known as the common difference and is denoted by ‘d’. An arithmetic progression can be written as: a, a + d, a + 2d, a +

In this post, we will cover , how we can convert cos sin inverse x and sin cos inverse x in the terms of x Value of cos sin inverse x $f(x) =cos sin^{-1} x$ Let $\theta = sin^{-1} x$or $ sin \theta =x$ Now we know that $\theta \in [-\pi/2, \pi/2]$Also cos is positive

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