Inverse Trigonometric Functions

Question 1

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

Revolt · Accepted Answer

Left-bracket negative StartFraction pi Over 2 EndFraction, StartFraction pi Over 2 EndFraction right-bracket

Question 2

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?

Revolt · Accepted Answer

270

Question 3

Review the graph.

Revolt · Accepted Answer

y = arccosx

Question 4

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.

Revolt · Accepted Answer

10 hours

Question 5

Review the graph.

Revolt · Accepted Answer

y = arcsinx

Question 6

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

Revolt · Accepted Answer

[–1, 1]

Question 7

Which statement is true about y = arctanx?

Revolt · Accepted Answer

The graph is symmetric about the origin.

Question 8

The function models the average high temperature in degrees Fahrenheit each month throughout the year in Anchorage, Alaska, where m = 1 for January and m = 12 for December. Approximately how many months is the average high temperature above freezing (32°F)?

Revolt · Accepted Answer

11

Question 9

Review the graph.

Revolt · Accepted Answer

y = sin-1x

Question 10

Which trigonometric functions have the same maximum value?

Revolt · Accepted Answer

y = arccosx and y = arcsecx

Inverse Trigonometric Functions Answers

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