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) ]
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...
PSEB-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise Find the principal value of sin^-1(1/sqrt2) 02:07 Principal value of cos^-1 (-1/2) is : 02:57 Range of tan^(-1)x= 01:20 Principal value of sec^-1 (2/√3) is : 02:19 Find the principal value of cot^-1(sqrt3) 01:50 Find th...
Certain "inverse" functions, like the inverse trig functions, have limited domains as well. Since the sine function can only have outputs from -1 to +1, its inverse can only accept inputs from -1 to +1. The domain of inverse sine is -1 to +1. However, the most common example of ...
If a function of two numbers x1 and x2 are equal, f(x1) = f(x2), then 2x1 + 3 = 2x2 + 3 2x1 = 2x2 x1 = x2 Therefore, f(x) is a one-to-one function. 4.2.2 Inverse of function f−1(x) Definition of inverse function f−1(x) Let f be a one-to-one function...
Range off(x)=sin−1x+tan−1x+√x+1is[a,b]thenb+ais equal to View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP...
Consider the inverse sine function defined byy=sin−1(x)ory=arcsin(x). What is its range? Question: y=sin−1(x) y=arcsin(x) Range of a Function: The set of all values obtained on mapping the elements that belong to the domain set constitute the range...
The logarithmic function is an inverse function. Recall that in the case ofinverse functions, Let f : A → B be a bijection. Then a function g : B → A which associates each element y∈B to a unique element x∈A such that f ( x ) = y is called the inverse of f. ...
No, csc x is not the inverse of sin. It is the reciprocal of the sine function. The inverse of sin is called inverse sine or arcsin. What is the Reciprocal of Cosecant? The reciprocal of the cosecant function is the sine function. It is written as sin x = 1/csc x ...
Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x). As there are a total of six trigonometric functions, similarly, there are 6 inverse trigonometric functions, namely, sin-1x...