Coordinates
Equations
Derivatives
Identities
Misc.
100
This is the rectangular point that, in polar form, is (5, π).
What is (-5, 0)?
100
This is the polar equation that, in rectangular form, is y = 6.
What is r = 6/sin(θ)?
100
These are what solutions to dy/dθ = 0 yield.
What are horizontal tangents?
100
This double angle identity is equal to 2sin(u)cos(u).
What is sin(2u)?
100
UNIT CIRCLE QUESTION! This is equal to sin(7π/6).
What is -sqrt(3)/2?
200
3This is the rectangular point that, in polar form, is (2√3, π/6).
What is (3, √3)?
200
This is the polar equation that, in rectangular form, is 4x - 2y - 1 = 0.
What is r = 1/(4cos(θ) - 2sin(θ))?
200
(TRICK QUESTION!) These are the conclusions about tangent lines that can be drawn when both dx/dθ and dy/dθ are simultaneously equal to zero.
What are NO conclusions?
200
This is the answer to the blank that follows: 1 + _____ = csc^2(x).
What is cot^2(x)?
200
UNIT CIRCLE QUESTION! This is equal to cos(3π/2).
What is 0?
300
This is the polar point that, in rectangular form, is (3, -3).
What is (3√2, 7π/4)?
300
This is the polar equation that, in rectangular form, is y = 4x^2.
What is r = tan(θ)/(4cos(θ))?
300
These are the possible values for θ when setting dy/dθ equal to zero given that r = sin(θ).
What are 0 and π/2?
300
This double-angle identity is equal to 2cos^2(u) - 1.
What is cos(2u)?
300
This is the equation FORM that best suits non-functions that contain loops.
What is polar form?
400
DAILY DOUBLE!!! This is the polar point that, in rectangular form, is (0, -2)?
What is (2, π/2)?
400
This is the parametric equation that, in polar form, is r = 4.
What is x = 4cos(θ) and y = 4sin(θ)?
400
These are the possible values for θ when setting dx/dθ equal to zero given that r = sin(θ).
What are π/4 and 3π/4?
400
This power-reducing identity is equal to (1 + cos(2u))/2.
What is cos^2(u)?
400
This is equal to r in rectangular form.
What is sqrt(x^2 + y^2)?
500
This is the polar point that, in rectangular form, is (-4, 4√3).
What is (8, 5π/3)?
500
This is the parametric equation that, in polar form, is r = 4/cos(θ).
What is x = 4 and y = 4tan(θ)?
500
These are the θ values at which there are horizontal and vertical tangents to the graph of r = 2(1 - cos(π)).
What are 2π/3 and 4π/3 (horizontal) and π, π/3, and 5π/3 (vertical)?
500
This product-to-sum identity is equal to 1/2[cos(u - v) - cos(u + v)].
What is sin(u)sin(v)?
500
This is the center of the polar coordinate system when modeling Paris.
What is the Arc de Triomphe?
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