The norizontal line test provides a quick way to tell wnetner or hot the inverse of a function is also a function. The inverse sine function has a range -< 0 s. Arccos (-;) = -120° . π 2 TT The sine function is one-to-one on the interval The largest positive value of y = arcsin x is 1. In the notation sin-1 x, the superscript -1 denotes an inverse function. The inverse cosine function has a domain of [-1,1] and a range of [0,–- T]. The inverse tangent function gives an angle on the upper half of the unit circle. ππ The inverse tangent function has a domain (-∞, +0) and the range - 2'2] -1 1 D. CSC X = sin-1 r VI VI

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 1E: For a function to have an inverse, it must be ___________. To define the inverse sine function, we...
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True or False. Please answer numbers 1-10 in table format for better understanding.

1. The horizontal line test provides a quick way to tell whether or not the inverse of a
function is also a function.
2. The inverse sine function has a range
-
3. Arccos (-) = -120°.
TT
4. The sine function is one-to-one on the interval
2
2.
5. The largest positive value of y = arcsin x is 1.
6. In the notation sin-1 x, the superscript -1 denotes an inverse function.
7. The inverse cosine function has a domain of [-1,1] and a range of [0, – n].
8. The inverse tangent function gives an angle on the upper half of the unit circle.
9. The inverse tangent function has a domain (-o, +0) and the range -.
1
10. CSC х —
-1
sin-1 x
Transcribed Image Text:1. The horizontal line test provides a quick way to tell whether or not the inverse of a function is also a function. 2. The inverse sine function has a range - 3. Arccos (-) = -120°. TT 4. The sine function is one-to-one on the interval 2 2. 5. The largest positive value of y = arcsin x is 1. 6. In the notation sin-1 x, the superscript -1 denotes an inverse function. 7. The inverse cosine function has a domain of [-1,1] and a range of [0, – n]. 8. The inverse tangent function gives an angle on the upper half of the unit circle. 9. The inverse tangent function has a domain (-o, +0) and the range -. 1 10. CSC х — -1 sin-1 x
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