AnswersS1S-OC Pre-Calculus A E3700 - AGInverse Trigonometric Functions

Inverse Trigonometric Functions Answers

10 verified answers1 views
1
Free Preview

Review the graph.

Question illustration
A
y = sinx
B
y = cosx
C
y = arcsinx
D
y = arccosx
2
Free Preview

Which expression is undefined?

A
sin-1(1)
B
sin-1(–2)
C
cos-1(0)
D
cos-1(–1)
3

What is the range of y = sin-1x?

A
[–1, 1]
B
[0, π]
C
Left-bracket negative StartFraction pi Over 2 EndFraction, StartFraction pi Over 2 EndFraction right-bracket
Option C
D
(–∞, ∞)
4

What is the domain of y = cos-1x?

A
[–1, 1]
B
[0, π]
C
Left-bracket negative StartFraction pi Over 2 EndFraction, StartFraction pi Over 2 EndFraction right-bracket
Option C
D
(–∞, ∞)
5

Which statement is true about y = arctanx?

A
The domain is .
Option A
B
The range is all real numbers.
C
The graph contains vertical asymptotes.
D
The graph is symmetric about the origin.
6

Which graph represents y = tan-1x?

A
On a coordinate plane, a function approaches x = negative StartFraction pi Over 2 EndFraction in quadrant 3, has an inflection point at (0, 0), and approaches x = StartFraction pi Over 2 EndFraction in quadrant 1.
Option A
B
On a coordinate plane, a function approaches y = negative StartFraction pi Over 2 EndFraction, increases through an inflection point at (0, 0), and approaches y = StartFraction pi over 2 EndFraction.
Option B
C
On a coordinate plane, a function approaches x = negative StartFraction pi Over 2 EndFraction in quadrant 2, has an inflection point at (0, 0), and approaches x = StartFraction pi Over 2 EndFraction in quadrant 4.
Option C
D
On a coordinate plane, a function approaches y = negative StartFraction pi Over 2 EndFraction in quadrant 4, increases through an inflection point at (0, 0), and approaches y = StartFraction pi over 2 EndFraction in quadrant 2.
Option D
7

The average daily high temperature in Madrid peaks at 92°F in the summer and drops as low as 33°F in the winter. The temperature can be modeled by , where d represents the day number of the year (January 1 is 1, January 2 is 2, and so on). During which day is the high temperature expected to be closest to 75°F?

Question illustration
A
106
B
63
C
270
D
204
8

The water level at a pier is modeled by the function , where y represents the water level measured in meters, and x represents the number of hours since the last high tide. After how many hours is the water first expected to reach a depth of 12 meters? Round to the nearest tenth of an hour.

Question illustration
A
1.6 hours
B
3.1 hours
C
14.4 hours
D
19.6 hours
9

What is the value of ?

Question illustration
A
StartFraction 2 pi Over 3 EndFraction
Option A
B
StartFraction negative 2 pi Over 3 EndFraction
Option B
C
StartFraction negative pi Over 6 EndFraction
Option C
D
StartFraction pi Over 6 EndFraction
Option D
10

The water level in a harbor is described by the function , where y represents the water level measured in feet, and x represents the number of hours since high tide. The period of time between high tides is 12 hours. After approximately how many hours is the water expected to reach a depth of 28 feet the second time? Round to the nearest hour.

Question illustration
A
1 hour
B
2 hours
C
10 hours
D
12 hours

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Inverse Trigonometric Functions

Quiz
10 verified answers

Graphing Sine and Cosine Functions

Assignment
2 verified answers

Inverse Trigonometric Functions

Inverse Trigonometric Functions Answers — S1S-OC…