What Does the Inverse Graph of Sine Look Like

The video tutorial explores the concept of sine and its inverse, focusing on why the sine of Theta equals 1/2 has multiple solutions but only one is considered in the inverse function. The instructor explains the sine graph, critical points, and the infinite nature of solutions. The tutorial also covers graphing the inverse function and the importance of range restrictions to maintain functionality.

What is the initial solution for Theta when sine of Theta equals 1/2?

• π/2

• π/4

• π/6

• π/3

Why do we need to put a constraint on the range of a function?

• To consider it a function

• To simplify calculations

• To increase its domain

• To make it more complex

Which of the following is a critical point of the sine graph?

• π/4

• π/2

• π/3

• π

What is the process to find the inverse of a sine function graphically?

• Reflect it over the XY line

• Compress the graph horizontally

• Shift the graph upwards

• Rotate the graph 90 degrees

What happens to the sine graph when it is reflected over the XY line?

• It shifts to the right

• It becomes the inverse sine graph

• It becomes a horizontal line

• It remains unchanged

Why can't we include angles like 5π/6 in the inverse sine function?

• They are not real numbers

• They make the inverse not a function

• They are too large

• They are outside the unit circle

What is the range of angles included in the inverse sine function?

• -π to π

• 0 to π

• -π/2 to π/2

• 0 to 2π