Find the Values of Theta in Degrees and Radians in the First Quadrant

The video tutorial explains how to determine the angle Theta when the sine of the angle equals 1/2. It begins by clarifying that sine represents the Y coordinate on the unit circle. The instructor then identifies that the problem is limited to angles between 0 and 90 degrees or 0 and π/2 radians. By examining the unit circle, the instructor finds that the Y coordinate equals 1/2 at 30 degrees. Thus, the solution to the problem is Theta equals 30 degrees.

What does the sine of an angle represent on the unit circle?

• The angle in radians

• The radius

• The x-coordinate

• The y-coordinate

Which of the following is true about the sine function on the unit circle?

• It is always equal to the radius

• It is always equal to the y-coordinate

• It is always equal to the angle in radians

• It is always equal to the x-coordinate

In which range of angles does the problem focus on finding when the y-coordinate equals 1/2?

• 0 to 180 degrees

• 0 to 360 degrees

• 0 to 90 degrees

• 90 to 180 degrees

What is the angle in degrees when the y-coordinate on the unit circle is 1/2?

• 30 degrees

• 90 degrees

• 45 degrees

• 60 degrees

What is the solution to the problem of finding Theta when the sine is 1/2?

• Theta equals 60 degrees

• Theta equals 90 degrees

• Theta equals 30 degrees

• Theta equals 45 degrees