Unit Circle Mastery

Which special right triangles are foundational for understanding the unit circle's first quadrant?

• 10-80-90 and 35-55-90 triangles

• 20-70-90 and 50-40-90 triangles

• 60-30-90 and 90-45-45 triangles

• 30-60-90 and 45-45-90 triangles

What does the x-value of a coordinate on the unit circle represent?

• Tangent

• Cotangent

• Cosine

• Sine

What is the sine value of an angle of 30 degrees on the unit circle?

• Root 2 over 2

• Root 3 over 2

• 1 over 2

• 2 over 1

In which quadrant are both the x and y values of coordinates positive?

• Fourth quadrant

• Second quadrant

• First quadrant

• Third quadrant

Which quadrant has both x and y values of ordered pairs as negative?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What pattern is observed in the ordered pairs for the 45 degree family of angles?

• Both x and y values are 1, regardless of quadrant

• All x-values are 1/2

• All y-values are root 3 over 2

• Both x and y values are root 2 over 2, with signs changing across quadrants

What is the significance of the first quadrant in learning the unit circle?

• It has no real significance

• It helps in understanding and memorizing the rest of the circle

• It is the only quadrant used in trigonometry

• It contains all negative values

How can knowledge of the first quadrant assist in understanding the entire unit circle?

• By transferring the knowledge of ordered pairs and angles to other quadrants

• By focusing on the third quadrant instead

• By ignoring the first quadrant altogether

• By memorizing all the angles in the first quadrant only