The sine function is not one-to-one, but once we restrict its domain to -π/2 to π/2, the restricted sine function IS one to one. The inverse sine function, denoted arcsin or sin-1, is the inverse of this restricted sine function....
sin2x ≤ 1 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 ...
The inverse functionof the double arcsine transformation has been also derived in the literature to recover the originalscale of the proportion after aggregation. In this brief note, we present the domain and range of theinverse double arcsine transformation both analytically and graphically. We ...
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 hel...
1反函数定义域的确定in order for the inverse of fx=sin (2x) to be a function the domain of fx must be limited to为使fx=sin2x的反函数有意义,fx的定义域 2 反函数定义域的确定 in order for the inverse of fx=sin (2x) to be a function the domain of fx must be limited to 为使f...
sin θ(-∞, + ∞)[-1, +1] cos θ(-∞ +∞)[-1, +1] tan θℝ - (2n + 1)π/2(-∞, +∞) cot θℝ - nπ(-∞, +∞) sec θℝ - (2n + 1)π/2(-∞, -1] U [+1, +∞) cosec θℝ - nπ(-∞, -1] U [+1, +∞) ...
Logarithmic 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...
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The graph of the curvey= sinxshows therangeto be betweeen −1 and 1. Thedomainofy= sinxis "all values ofx", since there are no restrictions on the values forx. (Put any number into the "sin" function in your calculator. Any number should work, and will give you a final answer ...
The domain of any one-to-one function is the same as the domain of its inverse function. True or false: Numbers in the domain of a radical function will always be nonnegative. True or False 1) The function f ( x ) = sin x with domain ( , ) is one...