Unit Circle Concepts and Values

The video tutorial explains the basics of trigonometric functions in the unit circle, focusing on cosine, sine, and tangent. It outlines steps to find ordered pairs and demonstrates examples for angles π/4 and 270 degrees, highlighting the calculation of trigonometric values and addressing special cases like undefined tangent values.

What does the cosine function represent in the unit circle?

• The y-coordinate

• The angle in radians

• The x-coordinate

• The ratio of y to x

In the unit circle, what is the tangent of an angle defined as?

• x divided by y

• The angle in degrees

• y divided by x

• The hypotenuse

What is the first step in finding ordered pairs in the unit circle?

• Calculate the hypotenuse

• Determine the quadrant

• Find the reference angle

• Use the Pythagorean theorem

Which step involves using the definition of trigonometric functions?

• First step

• Fourth step

• Second step

• Third step

What is the sine of pi/4 in the unit circle?

• Root 3 over 2

• 1

• Root 2 over 2

• 0

What is the cosine of pi/4 in the unit circle?

• Root 2 over 2

• 1

• Root 3 over 2

• 0

What is the tangent of pi/4 in the unit circle?

• 0

• 1

• Root 2

• Undefined

What is the reference angle for pi/4?

• Pi/4

• Pi/3

• Pi/2

• Pi/6

In which quadrant is the angle pi/4 located?

• Fourth quadrant

• Second quadrant

• Third quadrant

• First quadrant

What is the relationship between the reference angle and the original angle in the first quadrant?

• The reference angle is the complement

• The reference angle is half

• They are equal

• The reference angle is double