A plane rectangular coordinate system and a graph of the sine function (y equals to sin x) in an interval are provided on the glass plates. The distance from the origin of the plane rectangular coordinate system to a left side edge of the glass plates is equal to the distance from the ...
Inverse sine function is the inverse of the sine function(opposite side/hypotenuse) of a right triangle. Arcsine function definition, formula, derivative, graph and solved examples at BYJU’S.
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...
inverse function noun(1) Word History and OriginsWord of the DayQuiz Advertisement noun Mathematics. the function that replaces another function when the dependent and independent variables of the first function are interchanged for an appropriate set of values of the dependent variable. Iny= sinxan...
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 inverse is [−\pi/2, \pi/2]. Note that since sin(x) is an odd function of x, so is sin^{−1}(x). Now let’s differentiate the inverse ...
INVERSE TRIGONOMETRIC FUNCTIONS：反三角函数 4.7INVERSETRIGONOMETRICFUNCTIONS ForaninversetoexistthefunctionMUSTbeone-to-one •Afunctionisone-tooneifforeveryxthereisexactlyoneyandforeveryythereisexactlyonex.•So •Ifxand/oryisraisedtoanevenpowerthentheinversedoesnotexistunlessthedomainisrestricted.•The...
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. ...
c) sin−1 (−1) = −π/2. (Topic 15.) π/3. (Topic4.)−π/3.−π/6.Corresponding to each trigonometric function, there is its inverse function. arcsin x,arccos x,arctan x,arccsc x,arcsec x,arccot x.In each one, we are given the value x of the trigonometric ...
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arcsin button may be labelled asin, or sometimes sin-1.) So the inverse of sin is arcsin etc. When we see ...
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...