Inverse Sine Function Concepts

The video tutorial explains how to evaluate inverse sine function values using reference triangles. It covers the calculation of inverse sine for values like -1/2, √3/2, -√2/2, and 0, using different reference triangles and the unit circle. The tutorial highlights the importance of understanding the quadrants and angles in radians, providing a comprehensive guide to solving inverse sine problems.

What is the range of the inverse sine function?

• 0 to π

• -π to π

• -π/2 to π/2

• 0 to 2π

In which quadrant is the angle for inverse sine of -1/2 located?

• Third quadrant

• Second quadrant

• Fourth quadrant

• First quadrant

What is the angle in radians for inverse sine of -1/2?

• π/3

• -π/3

• π/6

• -π/6

Which reference triangle is used to evaluate inverse sine of √3/2?

• 45-45-90 triangle

• Equilateral triangle

• Isosceles triangle

• 30-60-90 triangle

What is the angle in radians for inverse sine of √3/2?

• π/6

• π/2

• π/4

• π/3

In which quadrant is the angle for inverse sine of -√2/2 located?

• Fourth quadrant

• Second quadrant

• First quadrant

• Third quadrant

What is the angle in radians for inverse sine of -√2/2?

• π/6

• -π/6

• π/4

• -π/4

Which method is used to evaluate inverse sine of 0?

• Graph of tangent function

• Graph of cosine function

• Unit circle

• Reference triangles

What is the angle in radians for inverse sine of 0?

• π/2

• π

• 0

• -π/2

What is the sine value at the point (1, 0) on the unit circle?

• 0

• Undefined

• 1

• -1