What is the range of the trigonometric function y = 5cos(x)? Consider the inverse sine function defined by y = sin^{-1}(x) or y = arcsin(x). What is its range? Which of the following is not in the range of the
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) ]
Domain and range of a function explained in plain English. Different ways to find the domain and range including graphs, "guess and check".
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 ...
【题目】Find the inverse function f-1 of f(r) =2sinr -1,-π/(2)≤x≤π/(2) . Find the range of ; and the domai n and range of f-'. 相关知识点: 试题来源: 解析 【解析】 f^(-1)(x)=sin^(-1)(x+1)/2 2 (y|-3≤y≤1\)OT|-3 ,1] [-3,1] . [-π/(2),...
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 with domain D and range R. Then its inverse f−1 has domain R and range D, that is, f(x) = y ⇔ f−1(y) = x...
If the domain of a one-to-one functionf(x)is[−8,4], the range of its inverse functionf−1is . Range of an Invertible Function: A one-to-one function is invertible. The input values of an invertible function become the output values of its inverse...
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]...
Consider the following function: f(x) = 2 \: sin(x-1), \; -\frac{\pi}{2} \leq x \leq \frac{\pi}{2}. Determine the domain of the inverse of the function. Let f(x) =\frac{1-\sqrt x}{1+\sqrt x}. ...
cot x = (cos x)/(sin x) cot x = 1/tan x cot (π/2 - x) = tan x cot (π + x) = cot x cot (2π + x) = cot x cot (-x) = - cot x cot θ = √csc²θ - 1 Is Cotangent the Inverse of Tangent? No, the inverse of tangent is arctan. It is written as tan...