Exploring the Unit Circle Fundamentals

Miss Cruces introduces the unit circle, recaps the first quadrant, and expands the concept to the entire circle. She explains reflections across the Y and X axes, affecting coordinates. The video covers converting degrees to radians and completing the unit circle. It concludes with an exploration of trigonometric functions and their patterns in different quadrants.

What color is associated with the triangle that has a reference angle of 45 degrees?

• Blue

• Yellow

• Green

• Red

What happens to the x-coordinates when reflecting points across the Y-axis?

• They become positive

• They become negative

• No change

• They are multiplied by 2

What is the new degree measure for the yellow line after reflecting across the Y-axis?

• 60 degrees

• 180 degrees

• 30 degrees

• 150 degrees

After reflecting across the X-axis, what is the Y-coordinate for the blue line in the third quadrant?

• -Square root of 3 over 2

• 1/2

• Square root of 3 over 2

• -1/2

What is the radian measure for 90 degrees?

• PI over 2

• PI over 4

• PI over 6

• 2 PI

What is the radian measure for 180 degrees?

• PI over 2

• 2 PI

• PI

• 3 PI over 2

What is the degree measure for the green line in the fourth quadrant?

• 45 degrees

• 225 degrees

• 315 degrees

• 135 degrees

In which quadrant is the cosine positive and the sine negative?

• First

• Fourth

• Second

• Third

Which trigonometric function is positive in the third quadrant?

• Sine

• Cosine

• None

• Tangent

Which quadrant has all trigonometric functions positive?

• Third

• Second

• Fourth

• First