Why do we get the coordinates of a unit circle - Free math help - Live lessons

The video tutorial explains the unit circle, focusing on key points and the use of special right triangles to determine coordinates. It addresses student confusion about these triangles and demonstrates how to find X&Y coordinates for specific angles using geometry. The tutorial covers the application of the Pythagorean theorem and rationalizing the denominator to find precise coordinate values.

What are some of the key angles mentioned on the unit circle that are associated with special right triangles?

• π/4, π/3, π/6

• π/3, π/5, π/4

• π/2, π/3, π/4

• π/6, π/2, π/5

What is the degree equivalent of π/4 radians?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the significance of the radius in the unit circle?

• It is always equal to 2

• It determines the circumference

• It is always equal to 1

• It varies with the angle

What type of triangle is formed when two angles are equal and the third is 90 degrees?

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• Right triangle

What are the X and Y coordinates for a 45-degree angle on the unit circle?

• sqrt(2)/2, sqrt(2)/2

• 0, 1

• 1, 0

• 1/2, sqrt(3)/2