Polar Graphs Exploration
Explore and analyze polar equations and their corresponding graphs in this Grade 11 mathematics worksheet.
Includes
Standards
Topics
Polar Graphs Exploration
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Which of the following polar equations represents a circle centered at the origin?
r = 4cosθ
r = 4sinθ
r = 4
r = 4 + 2cosθ
2. The graph of the polar equation r = a ± bcosθ or r = a ± bsinθ is called a .
3. If a polar equation contains a sine function, its graph is symmetric with respect to the .
4. Convert the polar equation r = 6cosθ to its rectangular form. Show your steps.
5. Sketch the graph of the polar equation r = 2 + 2sinθ on the coordinate plane below.
6. The polar equation r = 3θ represents a spiral.
True
False
Related Worksheets
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.
Transformations: Vertical and Horizontal Stretch and Shrink
Explore vertical and horizontal stretches and shrinks of functions with this comprehensive worksheet for Grade 11 math students.
Grade 11 Math: Rotations Worksheet
This worksheet focuses on understanding and applying geometric rotations in a coordinate plane for Grade 11 students.
Two-Column Proofs Worksheet
This worksheet provides practice with constructing two-column proofs for geometric theorems at a Grade 11 level, covering postulates, definitions, and theorems.
Finding Missing Sides Worksheet
Grade 11 Math worksheet focusing on finding missing sides in right triangles using the Pythagorean theorem and trigonometric ratios.
Distance Between Two Points Worksheet
Practice calculating the distance between two points on a coordinate plane using the distance formula.