Inverse Sine Function Concepts

The video tutorial explains how to evaluate expressions involving the inverse sine function, also known as the arcsine function. It covers the domain and range of the inverse sine function, which accepts values from -1 to 1 and outputs angles between -π/2 and π/2 radians. The tutorial provides step-by-step examples of calculating angles for specific inverse sine values, such as 0, -1/2, √3/2, and -√2/2, using the unit circle. Each example demonstrates how to find the corresponding angle in degrees and radians, emphasizing the importance of staying within the function's range.

What is the domain of the inverse sine function?

• Values from -2 to 2

• Values from 0 to 1

• Values from -1 to 1

• All real numbers

What is the range of the inverse sine function in degrees?

• -180 to 180 degrees

• 0 to 360 degrees

• -90 to 90 degrees

• 0 to 180 degrees

What is the inverse sine of zero?

• 90 degrees

• 180 degrees

• 0 degrees

• 45 degrees

In which quadrant is the angle for inverse sine of negative one-half?

• Second quadrant

• First quadrant

• Third quadrant

• Fourth quadrant

What is the inverse sine of negative one-half in radians?

• -π/6

• -π/3

• π/6

• π/3

What is the inverse sine of square root three divided by two in degrees?

• 30 degrees

• 90 degrees

• 60 degrees

• 45 degrees

What is the inverse sine of square root three divided by two in radians?

• π/6

• π/2

• π/4

• π/3

In which quadrant is the angle for inverse sine of negative square root two divided by two?

• Third quadrant

• Fourth quadrant

• First quadrant

• Second quadrant

What is the inverse sine of negative square root two divided by two in degrees?

• 60 degrees

• 45 degrees

• -60 degrees

• -45 degrees

What is the inverse sine of negative square root two divided by two in radians?

• π/6

• -π/6

• π/4

• -π/4