Throw away all but the correct part of it: Since the range of f(x) = sin(x) is [−1, 1], the domain of the inverse function is [−1, 1]. And since the domain of our function f is [−\pi/2, \pi/2] (since that’s how we restricted the domain), the range of the...
Sine Function:sin(30°) = 0.5 Inverse Sine:sin-1(0.5) = 30° CalculatorOn the calculator press one of the following (depending on the brand of calculator): either '2ndF sin' or 'shift sin'.On your calculator, try using sin and then sin-1 to see what happensMore Than One Angle!Inve...
The arcsine of x is defined as the inverse sine function of x when -1≤x≤1.When the sine of y is equal to x:sin y = xThen the arcsine of x is equal to the inverse sine function of x, which is equal to y:arcsin x = sin-1 x = y...
This article describes definitions of inverse trigonometric functions arctan, arccot and their main properties, as well as several differentiation formulas of arctan and arccot.MML identifier: SIN COS9, version: 7.8.10 4.100.1011 This ar... X Liang,X Bing - 《Formalized Mathematics》 被引量:...
when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc or angle whose sine is x. ...
A simple kinetic method for the determination of the reaction model from non-isothermal experiments In a recent article, we obtained an approximate solution for the evolution of a transformed fraction under isochronal conditions for a large variety of sin... J Farjas,BP Roura - 《Journal of The...
{b}\) subtended by an angle \(\theta _{\text {max}}\) from the center of the object, which characterizes the detection Numerical Aperture, NA \(=n_{b}\,\text {sin}\,\theta _{\textup{max}}\), then we have the limitation \(\sqrt{k_{x}^2 + k_{y}^2} \le k\text {...
There is an inverse if the function is one-to-one or restrictions imposed to give this state of affairs. However, the function y = sin x gives many values of x for the same value of y. To obtain an inverse we have to restrict the domain of the function to −π/2 to +π/2. ...
This suggests using a singl... B Javidi,JL Horner - 《Applied Optics》 被引量: 326发表: 1989年 Image deconvolution by nonlinear signal processing We describe a nonlinear optical processor that can perform image deconvolution to restore a smeared or out-of-focus image. In this technique both ...
We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions and exponential boun