Finding the Inverse Sine of Radical Three Over Two

The video tutorial explains how to find the inverse sine of a given value, focusing on the unit circle and the restrictions of the inverse sine function. It covers the process of identifying the angle corresponding to a specific sine value, using the unit circle as a reference. The tutorial also highlights the constraints of the inverse sine function, emphasizing the range of angles it can produce. The session concludes with a recap of the key points discussed.

What does the y-coordinate represent in the context of the unit circle?

• The cosine of an angle

• The sine of an angle

• The hypotenuse of a triangle

• The x-coordinate of a point

Which angle corresponds to a y-coordinate of radical 3/2 in the first quadrant?

• π/6

• π/4

• π/3

• π/2

What is the restriction on the angle for the inverse sine function?

• The angle must be between 0 and 2π

• The angle must be between π and 2π

• The angle must be between 0 and π

• The angle must be between π/2 and -π/2

Which of the following is NOT a valid angle for the inverse sine function?

• π/6

• -π/3

• 2π/3

• π/3

What is the radian measure of the angle corresponding to π/3 in degrees?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees