Finding Trigonometric Coordinates on the Unit Circle Using Transformations

This lesson covers how to determine trigonometric coordinates on the unit circle using transformations. It explains the unit circle's structure, how to find coordinates for angles in different quadrants by reflecting across axes, and addresses common misconceptions about coordinate reflection. The lesson emphasizes understanding sign changes in different quadrants and concludes with a summary of the transformation process.

What is the radius of the unit circle?

• 3 units

• 2 units

• 1 unit

• 0.5 units

How do you find the coordinates of a point in the second quadrant?

• Reflect across the x-axis and change the y value to negative

• Reflect across the y-axis and change the x value to negative

• Reflect across the y-axis and change the y value to positive

• Reflect across the x-axis and change the x value to positive

What is the reference angle for a 60-degree angle in the second quadrant?

• 90 degrees

• 120 degrees

• 150 degrees

• 180 degrees

In the third quadrant, what are the signs of the coordinates?

• Negative, Negative

• Positive, Negative

• Negative, Positive

• Positive, Positive

What common mistake do students make when reflecting coordinates across an axis?

• They reflect across the wrong axis

• They add extra units to the coordinates

• They swap the coordinates

• They forget to change the signs