Unit Circle and Coordinate Reflections

This video tutorial explains how to find trigonometric coordinates on the unit circle using transformations. It covers the unit circle's properties, how to reflect coordinates across axes to find new points, and the sign changes in different quadrants. The tutorial also addresses common misconceptions about coordinate reflection.

What is the primary method used to find trigonometric coordinates on the unit circle?

• Using a calculator

• Using transformations

• Using a protractor

• Using a ruler

What is the radius of the unit circle?

• 0.5 units

• 1 unit

• 2 units

• 3 units

How are the coordinates on the unit circle ordered?

• Sine, Tangent

• Sine, Cosine

• Cosine, Sine

• Tangent, Sine

When reflecting a point across the y-axis to find second quadrant coordinates, what happens to the x-value?

• It becomes positive

• It becomes negative

• It is swapped with the y-value

• It remains unchanged

What is the reference angle for a 120-degree angle in the unit circle?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

In which quadrant are both x and y coordinates negative?

• First quadrant

• Third quadrant

• Second quadrant

• Fourth quadrant

How are the coordinates reflected to find the third and fourth quadrant coordinates?

• Across both axes

• Across the x-axis

• Across the y-axis

• No reflection needed

Why do students sometimes mistakenly swap coordinates when reflecting them?

• They use the wrong reference angle

• They think swapping is necessary

• They confuse the axes

• They forget to change signs

What is the correct action when reflecting coordinates across an axis?

• Swap the coordinates

• Change the signs as needed

• Double the coordinates

• Halve the coordinates