To graph the inverse of the sine function, remember the graph is a reflection over the lineof the sine function. If we restrict the domain of f(x) = sin x to we have made the function 1-to-1. The range is [–1, 1].
To graph the inverse of the sine function, remember the graph is a reflection over the line y = x of the cosine function. Similarly, we can restrict the domains of the cosine and tangent functions to make them 1-to-1.
To graph the inverse of the sine function, remember the graph is a reflection over the line y = x of the tangent function.The domain of the inverse tangent function is (–∞, ∞) and the range is . The inverse of the tangent function will yield values in the 1st and 4th quadrants.
The domain of arcsecx is all values of x, except -1<x < 1. The range of arcsec x is 0 ≤ arcsec x ≤ π, arcsecx≠2/π
The graph extends in the negative and positive x-directions. The domain of arccsc x is all values of x, except -1<x < 1. The range of arccsc x is −2/π ≤ arccscx ≤ 2/π, arccsc x ≠ 0
The graph extends in the negative and positive x-directions (it doesn't stop at -10 and 10 as shown in the graph). So the domain of arccot x is all values of x. The range of arccot x is 0 < arccot x < π.