Given the Value of a Trigonometric Function Find the Angle

The video tutorial explains how to find the angle Theta corresponding to a point on the unit circle. It covers key points at 30, 45, and 60 degrees, emphasizing the importance of memorizing these points. The tutorial demonstrates finding Theta when the Y-coordinate is sqrt 2 / 2, identifying it as 45 degrees. The video concludes with tips for memorizing unit circle points.

What is the x-coordinate of the point on the unit circle at 30 degrees?

• sqrt(2)/2

• 1/2

• 1

• sqrt(3)/2

Which angle corresponds to the point (sqrt(2)/2, sqrt(2)/2) on the unit circle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What does the sine function represent in terms of a point on the unit circle?

• The x-coordinate

• The y-coordinate

• The angle

• The radius

What is the radian measure for 30 degrees?

• π/2

• π/3

• π/6

• π/4

Which of the following is a key point on the unit circle?

• (1/2, sqrt(2)/2)

• (sqrt(3)/2, 1/2)

• (1, 0)

• (0, 1)