The arcsine function is the inverse function of y = sin(x).arcsin(y) = sin-1(y) = x + 2kπ For everyk = {...,-2,-1,0,1,2,...}For example, If the sine of 30° is 0.5:sin(30°) = 0.5Then the arcsine of 0.5 is 30°:...
Inverse Trigonometric FunctionsThis article describes definitions of inverse trigonometric functions arcsec and arccosec, as well as their main properties.MML identifier: SINCOS10, version: 7.8.10 4.100.1011 This article describes definitions of inverse trigonometric functions arcsec and arccosec, as ...
arcsin x = sin-1 x = y How to find arcsin? To calculate the arcsine for a triangle, follow the below example. Example: x = 0.5 Arcsin(x) = ? Solution: Step 1: Place the value of x in arcsine function. Arcsin(0.5) Step 2: Take the sin-1 of 0.5 in calculator (scientific)....
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 ...
y = sin(x) | x = arcsin(y) Thus, ifyis equal to the sine ofx, thenxis equal to the arcsin ofy. Inverse Sine Graph If you graph the arcsin function for every possible value of sine, it forms an increasing curve from (-1, -π/2) to (1, π/2). ...
Answer Step by step video & image solution for Find the inverse of the following functions(i) f(x) = sin^(-1) (x/3) x in [-3,3] by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Updated on:21/07/2023 ...
(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 "arcsin A", we understand it as "the angle whose sin is A" sin30 = 0.5 Means: The sine of 30 degrees is 0.5 arcsin 0.5 = 30 Means: The angle ...
xn ↔ y1n n not zero(different rules when n is odd, even, negative or positive) ex ↔ ln(y) y > 0 ax ↔ loga(y) y and a > 0 sin(x) ↔ sin-1(y) -π/2 to +π/2 cos(x) ↔ cos-1(y) 0 to π tan(x) ↔ tan-1(y) -π/2 to +π/2(...
IT IS NOT NECESSARY to memorize the derivatives of this Lesson. Rather, the student should know now to derive them.In Topic 19 of Trigonometry, we introduced the inverse trigonometric functions. According to the inverse relations:y = arcsin x implies sin y = x.And similarly for each of the...
But why does Inverse Sine get chopped off at top and bottom (the dots are not really part of the function) ... ? Because to be a function it can only give one answer when we ask "what is sin-1(x)?" But we saw earlier that there are infinitely many answers, and the dotted line...