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

What angle in degrees is equivalent to 0 radians?

• 180°

• 90°

• 360°

• 0°

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

• π/3

• π/6

• π/2

• π/4

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

What is the sine of 30 degrees?

• 0

• 1/2

• √3/2

• √2/2

What is the cosine of 135 degrees?

• √3/2

• 1/2

• 0

• -√2/2

What is the tangent of 5π/6?

• -√3/3

• 1/√3

• √3

• -1/√3

What is the cosecant of 5π/3?

• -2√3/3

• 2/√3

• -2/√3

• √3/2

What is the secant of 3π/2?

• -1

• 0

• 1

• Undefined

What is the cotangent of 30 degrees?

• 1/√3

• √3/3

• √3

• 2√3/3