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 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).
When we have two functionsf(x)andg(x)that are inverse to each other, it means that those functions are one to one and have the property that the domain and range between them are inverted. That is, the range of a function is the domain of its inverse function and vice versa. This ...
To solve the problem of drawing the graphs of y=sin−1|sinx| and y=(sin−1|sinx|)2 for 0≤x≤2π, we will break it down into steps. Step 1: Understanding the function y=sin−1|sinx| 1. Domain and Range: - The function sinx oscillates between -1 and 1. Therefore, |sin...
The inverse function is f^(−1)(x)=sin ^(-1)(x+1)2.To find the range of f, solve y=2sin x−1 for sin x and use the fact that −1≤ sin x≤ 1.y=2 sin x-1sin x=(y+1)2−1≤ (y+1)2≤ 1−2≤ y+1≤ 2−3≤ y≤ 1The range of f is \(y∣ ...
domain. To be able to define an inverse sine function, we limit the domain of the sine function to the closed interval {eq}[-\pi/2,\pi/2]. {/eq} On this closed interval, the sine function is one-to-one and an inverse func...
To find the domain and range of the function f(x)=sin−1(⌊x⌋), where ⌊x⌋ represents the greatest integer function, we will follow these steps: Step 1: Understand the functionThe function f(x) is defined as the inverse sine of the greatest integer less than or equal to x...
Domain and Range of Basic Inverse Trigonometric Functions QuestionThe value of sin[arccos(−12)] is - 1√2 1 √31 none of these A none of these B 1 C √31 D 1√2 Solution Verified by Toppr sin(arccos(−12))=sin[cos−1(−12)] Let cos−1(−12)=P cosp=−12 ...
1.(Mathematics) Also called:circular functionany of a group of functions of an angle expressed as a ratio of two of the sides of a right-angled triangle containing the angle. The group includes sine, cosine, tangent, secant, cosecant, and cotangent ...
Find the inverse function f^(-1) of f(x)=2sin x−1, −(π )2≤ x≤ (π )2. Find the range of f and the domain and range of f^(-1). 相关知识点: 试题来源: 解析 f^(−1)(x)=sin ^(-1)(x+1)2()^().\(y∣ −3≤ y≤ 1\) or [−3,1][-3,1...