Unit Circle Trigonometry Quiz

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Questions and Answers

What is the equation representing the unit circle?

  • $x^2 + y^2 = 1$ (correct)
  • $x^2 + y^2 = 0$
  • $x^2 - y^2 = 1$
  • $x^2 - y^2 = 0$

What is the name for the interior of the unit circle?

  • Unit cylinder
  • Open unit disk (correct)
  • Closed unit disk
  • Unit sphere

What are the lengths of the legs of a right triangle formed by a point (x, y) on the unit circle?

  • x and y
  • |x| and y
  • x and |y|
  • |x| and |y| (correct)

What is the interior of the unit circle combined with the unit circle itself called?

<p>Closed unit disk (B)</p> Signup and view all the answers

What is the reflection property of points on the unit circle?

<p>The reflection of any point on the unit circle about the x- or y-axis is also on the unit circle (A)</p> Signup and view all the answers

What is the equation representing the unit circle?

<p>$x^2 + y^2 = 1$ (A)</p> Signup and view all the answers

What is the interior of the unit circle combined with the unit circle itself called?

<p>Closed unit disk (D)</p> Signup and view all the answers

If (x, y) is a point on the unit circle's circumference, what are the lengths of the legs of a right triangle whose hypotenuse has length 1?

<p>|x| and |y| (C)</p> Signup and view all the answers

What is the name for the interior of the unit circle?

<p>Open unit disk (D)</p> Signup and view all the answers

What is the reflection of any point on the unit circle about the x- or y-axis also on the unit circle called?

<p>Reflection property (B)</p> Signup and view all the answers

Flashcards

Unit Circle Equation

The equation x² + y² = 1 represents the unit circle.

Open Unit Disk

The interior of the unit circle, excluding the circle itself.

Legs of Right Triangle

If (x, y) is on the unit circle, the lengths of the legs are |x| and |y|.

Closed Unit Disk

The interior of the unit circle and the unit circle itself.

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Reflection Property

Reflecting a point on the unit circle about the x- or y-axis stays on the unit circle.

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Unit Circle

A circle with a radius of 1.

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Point on Unit Circle

(x, y) is a point on the unit circle's circumference.

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Hypotenuse Length

The hypotenuse of a right triangle formed by a point (x, y) on the unit circle is 1.

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Circle Center

The center of the unit circle is located at the origin (0, 0).

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Unit Circle Coordinates

Coordinate values (x,y) on the unit circle always satisfy the equation x² + y² = 1.

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