The Inverse Sine Function (arcsin) We define the inverse sine function as y=arcsin xy=arcsin x for −π2≤y≤π2−2π≤y≤2π where y is the angle whose sine is x. This means that x=sinyx=siny The graph of y = arcsin x Let's see the graph of y = sin x...
inverse cotangent Inverse figures inverse function Inverse points Inverse proportion Inverse ratio inverse secant inverse sine inverse square law inverse tangent Inverse trigonometrical functions inversely Inversely proportional inverse-square law inversion ...
Related to Inverse trigonometric function: Inverse sinearc cosecant n. The inverse of the cosecant function. American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Compan...
The domain of the inverse sine function or arcsine function is {eq}\displaystyle [-1,1], {/eq} which comes from the range of the one-to-one sine function. The derivative of the arcsine function is {eq}\displaystyle \frac{d}{dx}\left(\arcsin(x)...
To find the domain of the function f(x)=sin−1(3−x)ln(|x|−2), we need to consider the conditions under which both the numerator and the denominator are defined. Step 1: Determine the conditions for the numeratorThe numerator is sin−1(3−x). The inverse sine function is ...
in order to have a inverse function,the function must be one-to-one,but why the sine function has a inverse function? 相关知识点: 试题来源: 解析 在给定区间内,[-π/2,π/2],可以讨论反函数,其他区间也可以,可以利用,[-π/2,π/2]的反函数表示,但区间必须是满足定义域值域间的一一对应 ...
It is usually denoted csc: The function (sin x)–1 is the multiplicative inverse to the sine, and is called the cosecant. It is usually denoted csc?x: Hyperbolic functions behave similarly, using the prefix "ar", as in arsinh for the inverse function of sinh, and csch?x for the ...
The inverse hyperbolic tangent function and Jacobian sine functionHolder meanConvexityInverse hyperbolic tangent functionJacobian sine functionThe Molder convexity of the composition of inverse hyperbolic tangent function and Jacobian sine function is investigated in this paper. (C) 2016 Elsevier Inc. All ...
This paper shows how to calculate consistent marginal effects on the original scale of the outcome variable in Stata after estimating a linear regression with a dependent variable that has been transformed by the inverse hyperbolic sine function. The method uses a nonparametric retransformation of the...
Inverse Hyperbolic Function: The trigonometric hyperbolic function sine is expressed as {eq}\sinh x = \dfrac{{{e^x} - {e^{ - x}}}{2} {/eq}. On the other hand, the inverse hyperbolic function for sine or also known as hyp...