Arcsin is the inverse trigonometric function of the sine function. It gives the measure of the angle for the corresponding value of the sine function. Arcsin is defined as arcsin: [-1, 1] → [–π/2, π/2].
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) ]
What is domain and range? The domain of a function,, is most commonly defined as the set of values for which a function is defined. For example, a functionf (x)fxthat is defined for real valuesxxinhas domain, and is sometimes said to be "a function over the reals." The set of ...
Why isn't the domain and range ofarcsin(x)the same? Domain and range The domain of the function are the set of values that we can be directly give as an input to a function. The range of the function are the set of output results obtained from a function. ...
Determine the domain and the range of the following function:f(x,y)=arcsec(yx). Secant The secant is a trigonometric function defined as the inverse of the cosine, secx=1cosx. π x = 2m+12 π m∈Z Answer and Explanation: ...
What are its domain and range?Question:How is the inverse cosine function {eq}\displaystyle f(x) = \cos^{-1}x {/eq} defined? What are its domain and range?Inverse Trigonometric Function:In trigonometry, the inverse function is the reverse of the original ...
To find the range, reverse the function. Solve for x as a function of y. Now, what values can y have that won't give a "division by 0"? (What you are reallying doing is finding the inverse function- that reverses "domain" and "range".)Similar...
cos range [-1,1] tan domain x≠π/2 + nπ sin^-1 domain [-1,1] sin^-1 range [-π/2, π/2] cos^-1 domain [-1,1] cos^-1 range [0, π] tan^-1 domain (-∞,∞) tan^-1 domain [-π/2, π/2] csc domain
Step 2: Restrict our domain, and identify the unique inverses of our function. In this particular case, our original function has a domain of {eq}(-\infty,\infty) {/eq} and a range of {eq}[-1,1]. {/eq} We definitely know this means the domain of our inverse will be {eq}[...
Class 12MATHSINVERSE TRIGONOMETRIC FUNCTIONS Similar Questions graph and value of sin^(-1); domain and range 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 pr...