## 2 sin inverse x formula

Formula of 2 sin inverse x is 2 arcsin(x) = arcsin(2x√1−x^{2}). Sin inverse X is belongs to important trigonometric inverse functions. it is know as or can be written as sin^{-1}x or arcsin (x) (read as ‘arc sine x’). For your information please don’t get confused in between sin^{-1}x and (sin x)^{-1} both are different function. In trigonometry we have 6 inverse functions such as

- sin
^{-1}x = inverse of sin x = arcsin x - cos
^{-1}x = inverse of cos x = arccos x - tan
^{-1}x = inverse of tan x = arctan x - csc
^{-1}x = inverse of csc x = arccsc x - sec
^{-1}x = inverse of sec x = arcsec x - cot
^{-1}x = inverse of cot x = arccot x

### Sin inverse x is equal to

In other words we can say that Inverse sin x is inverse function of sine x. In this blog post we will find the Formula of 2 sin inverse x and will solve some important examples using this formula.

- It is mathematically written as “asin x” (or) “sin
^{-1}x” or “arcsin x”. We read “sin^{-1}x” as “sin inverse of x”. We know that if two functions f and f^{-1 }are inverses of each other, then f(x) = y ⇒ x = f^{-1}(y). So**sin x = y ⇒ x = sin**. i.e., when “sin” moves from one side to the other side of the equation, it becomes sin^{-1}(y)^{-1}. Let us consider a few examples to see how the inverse sine function works. - Example 1 –> sin 0 = 0 ⇒ 0 = sin
^{-1}(0) - Second Example –> sin π/2 = 1 ⇒ π/2 = sin
^{-1}(1) - Example 3 –> sin π/6 = 0.5 ⇒ π/6 = sin
^{-1}(0.5)

- the
**domain of sin inverse x is [-1, 1]** - the
**range of sin inverse x is [-π/2, π/2]**. - Example –
**arcsin x (or) sin**^{-1}x : [-1, 1] → [-π/2, π/2]

Summery of this post is 2 **arcsin x (or) 2sin ^{-1}x ** = arcsin(2x√1−x

^{2}) or Please follow this link of Explanation of Mathematics formula –

**Click**

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