function is also a function. The inverse sine function has a range -< 0 <. Arccos (-;) = - = -120° The sine function is one-to-one on the interval The largest positive value of y 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 functicn gives an angle on the upper half of the unit circle. = arcsin x is 1. The inverse tangent function has a domain (-0,+0) and the range -, 1 . csc- x = - sin-1 x

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 12A
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Write TRUE if the statement is always true otherwise, write FALSE.
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 - < 0.
2
3. Arccos (-) = -
= -120°.
TT
4. The sine function is one-to-one on the interval
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,– T].
8. The inverse tangent functicn gives an angle on the upper half of the unit circle.
9. The inverse tangent function has a domain (-∞, +0) and the range -,-
1
10. Csc-x =
-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 - < 0. 2 3. Arccos (-) = - = -120°. TT 4. The sine function is one-to-one on the interval 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,– T]. 8. The inverse tangent functicn gives an angle on the upper half of the unit circle. 9. The inverse tangent function has a domain (-∞, +0) and the range -,- 1 10. Csc-x = -1 sin-1 x
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