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) ]
Some values are excluded from the domain and range of trigonometric functions depending upon the region where the trigonometric function is not defined. In this article, we will explore the domain and range of trigonometric functions using table, and graph, and domain and range of inverse trigonome...
INVERSE TRIGONOMETRIC FUNCTIONS BOOK - RESONANCE DPP ENGLISHCHAPTER - MATRICESEXERCISE - All Questions 7videos MATRICESSimilar Questions The range of the function, f(x)=(1+sec−1x)(1+cos−1x) is View Solution The range of the function f(x)=sec−1(x)+tan−1(x) ,is View Solut...
f(x)=±1−sin2(sin−1(x)) The sine and the inverse sine function cancel; leaving uswith x2 : f(x)=±1−x2;−1≤x≤1 We cannot know whether we use the + or the - signwithout more information regarding the quadrant of the angle. Was this answer help...
CENGAGE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Concept application exercise 7.1 Find the principal value of (a) cosec^(-1) (-1) (b) cot^(-1) (-(1)/(... 04:50 Solves cos^(-1) x lt 2 01:49 Find the possible values of sin^(-1) (1 - x) + cos^(-1) sqrt(x -2) 01:43...
sin x ∈ [-1, 1] Hence, we got the range and domain for sine function. Similarly, following the same methodology, 1- cos2x ≥ 0 cos2x ≤1 cos x ∈ [-1,1] Hence, for the trigonometric functions f(x)= sin x and f(x)= cos x, the domain will consist of the entire set of...
x+1=2 sin ysin y=(x+1)2y=sin ^(-1)(x+1)2The 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≤ ...
Therefore, the domain ofsin−1(x)Is {eq}\left [... Learn more about this topic: Domain & Range of a Function | Definition, Equation & Examples from Chapter 7/ Lesson 3 228K What are the domain and range of a function? What are the domain and range of the graph of a function?
If a > 0 and a ≠ 1 then the function defined by f ( x ) = x , x > 0 is called the logarithmic function. 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 associa...
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...