Exploring the Unit Circle Fundamentals

The video tutorial covers the unit circle, explaining its definition and properties. It discusses angles in degrees and radians, and how to convert between them. The tutorial also explores special right triangles and their role in determining points on the unit circle. Symmetry and quadrant properties are highlighted, followed by an application of the unit circle to trigonometric functions like sine, cosine, and tangent.

What is the radius of a unit circle?

• 2

• 1

• 0

• π

Tags

CCSS.HSF.TF.A.2

What angle in degrees is equivalent to 0 radians?

• 180°

• 90°

• 360°

• 0°

Tags

CCSS.HSF.TF.A.1

What is the radian measure of a 90-degree angle?

• π/3

• π/6

• π/2

• π/4

Tags

CCSS.HSF.TF.A.1

In a 45-45-90 triangle, if the hypotenuse is 1, what is the length of the other sides?

• 1/2

• √2/2

• 1

• √3/2

Tags

CCSS.8.G.B.8

What is the sine of 30 degrees?

• 0

• 1/2

• √3/2

• √2/2

Tags

CCSS.HSF.TF.A.2

What is the cosine of 135 degrees?

• √3/2

• 1/2

• 0

• -√2/2

Tags

CCSS.HSF.TF.A.2

What is the tangent of 5π/6?

• -√3/3

• 1/√3

• √3

• -1/√3

Tags

CCSS.HSF.TF.A.2

What is the cosecant of 5π/3?

• -2√3/3

• 2/√3

• -2/√3

• √3/2

Tags

CCSS.HSF.TF.A.2

What is the secant of 3π/2?

• -1

• 0

• 1

• Undefined

Tags

CCSS.HSF.TF.A.2

What is the cotangent of 30 degrees?

• 1/√3

• √3/3

• √3

• 2√3/3

Tags

CCSS.HSF.TF.A.2