Inverse Trigonometric Functions Answers

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

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?

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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.

Review the graph.

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

Which statement is true about y = arctanx?

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)?

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Which trigonometric functions have the same maximum value?

Which expression is undefined?

What is the value of sin-1(1)?

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.