For example, if sin(x) = -0.866, then sin-1(-0.866) = -1.047 radians. This is approximately -60 degrees which means that the angle whose sine is -0.866 is -60 degrees or -1.047 radians. Can you find the inverse sine without a calculator?
arcsin(y) = sin-1(y) =x+ 2kπ 对于每个 k= {...,-2,-1,0,1,2,...} 例如,如果正弦30° is 0.5: sin(30°) = 0.5 然后是0.5 is 30°: arcsin(0.5) = sin-1(0.5) = 30°
Arcsin is the inverse trigonometric function of the sine function. It gives the measure of the angle for the corresponding value of thesine function. We denote the arcsin function for the real number x as arcsin x (read as arcsine x) or sin-1x (read assine inverse x) which is the in...
Types of Function> Thearcsin function, y = arcsin(x), is “the angle with sin x.” It is theinverse functionto y = sin x,restrictedto the interval -π /2 ≤ x ≤π /2. “Arcsin” is the abbreviation for arcsine and is occasionally also designated by sin-1x. Since this can be...
The value of arcsin 1 is equal to 90 degrees or π/2 radians. We can find the value of sin inverse 1 using the unit circle and its coordinates which are given by (cos x, sin x).
The only way for f(x) = sin(x) to undo g(x)= sin-1(x) is if it is 1-to-1 which requires the domain to be restricted. Once this is done f(x) = sin(x) undoes g(x)= sin-1(x) and g(x)= sin-1(x) undoes f(x) = sin(x). ...
Answer to: To solve for x, we need to use the arcsine (sin^-1). x=sin^(-1)x(10/18) x=34 degrees. Solve and explain. What is the meaning of the "^"...
sin−1(−x)=−sin−1(x) Inverse Sine Function: Theinverse sine functionis denoted by arcsine and it also called asinverse of sine function. Inverse of sine function will give the angle. We known that, if a function is odd thenf(−x)=−f(x). Sine function is an ...
arcsin( sin x ) = ?Since arcsin is the inverse function of sine, the sine of arcsine of x is equal to x:sin( arcsin x ) = xx has values from -1 to 1:x∈[-1,1]Since sine is periodic, the arcsine of sine of x is equal to x plus 2kπ when k is integer:...
Then the arcsine of x is equal to the inverse sine function of x, which is equal to y: 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 ...