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) ]
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. Answer and Explanation:1 The range of sine function is[−1,1]for any input value. ...
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 ...
Functions in mathematics can be compared to the operations of a vending (soda) machine. When you put in a certain amount of money, you can select different types of sodas. Similarly, for functions, we input different numbers and we get new numbers as the result. Domain and range are the ...
Thus, the range off(x)consists of the values: Range={−π2,0,π2} Final Answer -Domain:(−1,2) -Range:{−π2,0,π2} Class 12MATHSRELATIONS AND FUNCTIONS Similar Questions View Solution Free Ncert Solutions English Medium
The domain of the sine function is all real numbers, or {eq}(-\infty, \ \infty) {/eq}, and its corresponding range is {eq}[-1, \ 1] {/eq}. The domain and range of the cosine function are the same as that of the sine function. There is just a small horizontal shift in the...
The range for the function is the same as the range for thecosine function, −1≤f(x)≤1 Use the identity cos(x)=±1−sin2(x) f(x)=±1−sin2(sin−1(x)) The sine and the inverse sine function cancel; leaving uswith x2 : f(x)=±1−x2;...
Domain and Range of a Function - Domain of a Function| Range of a Function. Co-domain of a Function | Difference Between Domain & Codomain of a Function and Solved examples.
More than just an online function properties finder Wolfram|Alpha is a great tool for finding the domain and range of a function. It also shows plots of the function and illustrates the domain and range on a number line to enhance your mathematical intuition. ...
Range of a Function: The range of a real function can be defined as the set of numbers on the axis and where the graph exists, it is the set of images of the function. The range is also known as the set of images of the function. The sine and cosine functions ...