Maths

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

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

In this post ,we will check what method or ways can be used to solve inverse trig equations how to solve inverse trig equations Method 1 1. Obtain the equation in the form given above using inverse trigonometric function identitiesi.e$sin^{-1} x =”value”$$cos^{-1} x=”value”$$tan^{-1} x=”value”$$cosec^{-1} x=”value”$$sec^{-1} x=”value”$$cot^{-1} x=”value”$ 2. Now we can easily find the value

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

Here in this post ,we will check out how to draw the graph of cos inverse cos x i.e $f(x) = cos^{-1} cos (x)$ We know by definition $f(x) = cos^{-1} cos (x) = x $ if $x \in [0, \pi]$ Lets check out the other values if $x \in (\pi, 2\pi]$ $\pi < x