Inverse sine is one of the inverse trigonometric functions of the sine function and it is written as sin-1x and is read as "sin inverse x". Then by the definition of inverse sine, θ = sin-1[ (opposite side) / (hypotenuse) ]
We need to restrict the domain to get the inverse function. (How about other parts?) Then it satisfies the horizontal line test, so it has an inverse f−1—sin−1(x) or arcsin(x). (Beware: the first of these notations is a little confusing at first, since sin−1(x) does ...
Consider the inverse sine function defined by y=sin−1(x) or y=arcsin(x). What is its domain? The Domain of a Function:The set of values that can be used as input in a given function is called the domain of the function. For instance, the function f...
Inverse Trigonometric Functions 逆三角函数 对应的arcsine函数定义叫做:inverse sine function 逆三角函数, 或者the arcsine function(arcsine 函数) Paste_Image.png sin函数 和 arcsine函数 图像对比 Paste_Image.png 根据cancellation equations取消方程,我们可以得到 Paste_Image.png 同理:可以得到对应的arccos函数定...
(Problem 2.) In Topic 21 we will see that the inverse of a logarithmic function, y = logbx, is the exponential function y = bx. And in Topic 19 of Trigonometry, we see that the inverse of y = sin x is y = arcsin x.In calculus, the student is expected to know those inverses....
y = x/2 + sin(x) y ... ? = xNotes on NotationEven though we write f-1(x), the "-1" is not an exponent (or power):f-1(x) ...is different to... f(x)-1 Inverse of the function f f(x)-1 = 1/f(x) (the Reciprocal)Summary...
The inverse trigonometric function is arcsin (also denoted as sin-1). The domain of arcsin (the range of valid inputs) is -1 ≤ x ≤ 1 . The range of arcsin (the range of possible outputs) is 0 ≤θ≤π. The opposite side's length is 2 cm for our example. The hypotenuse's le...
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 ...
FunctionDomainRange sin(x)[ −π 2 , π 2 ][−1,1] cos(x)[0,π][−1,1] tan(x)( −π 2 , π 2 )(−∞,∞) cot(x)(0,π)(−∞,∞) sec(x)[0, π 2 )∪( π 2 ,π](−∞,−1]∪[1,∞) csc(x)[− π 2 ,0)∪(0, π 2 ](−∞,−1]∪[...
INVERSE TRIGONOMETRIC FUNCTIONS：反三角函数 4.7INVERSETRIGONOMETRICFUNCTIONS ForaninversetoexistthefunctionMUSTbeone-to-one •Afunctionisone-tooneifforeveryxthereisexactlyoneyandforeveryythereisexactlyonex.•So •Ifxand/oryisraisedtoanevenpowerthentheinversedoesnotexistunlessthedomainisrestricted.•The...