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mathematics
precalculus

Questions and Answers of Precalculus

Identify and graph the polar equation. r = 2 + 2 cosθ
Match each of the graphs (A) through (H) to one of the following polar equation. rsinθ = 2 e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. θ = 3π/4 e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. r = 2sinθ e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. r = 1 + cosθ e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. rcosθ = 2 e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. r = 2cosθ e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. θ = π/4 e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Match each of the graphs (A) through (H) to one of the following polar equation. r = 2 e = 0 = (A) (B) (C) (D) (E) (F) (G) (H)
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsecθ = -4
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcscθ = -2
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcscθ = 8
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsecθ = 4
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = -4cosθ
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = -4sinθ
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = 2sinθ
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = 2cosθ
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsinθ = -2
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcosθ = -2
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcosθ = 4
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsinθ = 4
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. θ = -π/4
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation.θ = π/3
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = 2
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = 4
Rose curves are characterized by equations of the form r = acos(nθ) or r = asin(nθ) a ≠ 0 . If a ≠ 0 is even, the rose has _______ petals; if n ≠ ±1 is odd, the rose
True or False.A cardiod passes through the pole
To test if the graph of a polar equation may be symmetric with respect to the line θ = π/2, replace θ by_______.
To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace θ by_______.
True or False. The tests for symmetry in polar coordinates are necessary, but not sufficient.
An equation whose variables are polar coordinates is called a(n)________.
cos2π/3 = _________.
sin5π/4 = _________.
Is the sine function even, odd, or neither?
The standard equation of a circle with center at (-2,5 ) and radius 3 is _______.
The difference formula for cosine is cos(A - B) _______.
If the rectangular coordinates of a point are the point symmetric to it with respect to the origin is________ .
In converting from polar coordinates to rectangular coordinates, what formulas will you use?
Show that the formula for the distance d between two points P1 = (r1, θ1) and P2 = (r2, θ2). d = Vri +h – 2r;r2 cos(02 – 01) %3D
In Chicago, the road system is set up like a Cartesian plane, where streets are indicated by the number of blocks they are from Madison Street and State Street. For example, Wrigley Field in Chicago
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 3/3 - cosθ
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 4/1 - cosθ
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 4
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 2
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = sin θ - cos θ
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r2 = cosθ
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = sinθ + 1
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = cosθ
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).x = -3
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).x = 4
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).4x2y = 1
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).2xy = 1
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).y2 = 2x
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).x2 = 4y
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).x2 + y2 = x
The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ).2x2 + 2y2 = 3
The rectangular coordinates of a point are given. Find polar coordinates for the point.(-2.3, 0.2)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(8.3, 4.2)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(-0.8, -2.1)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(1.3, -2.1)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(-2, 2√3)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(√3, 1)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(-3, 3)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(1, -1)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(0, -2)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(-1, 0)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(0, 2)
The rectangular coordinates of a point are given. Find polar coordinates for the point.(3, 0)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(8.1, 5.2)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(6.3, 3.8)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-3.1, 182°)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(7.5, 110°)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-3, -90°)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-2, -180°)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-3, -3π/4)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-1, -π/3)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-2, 2π/3)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-2, 3π/4)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(5, 300°)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(6, 150°)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-3, π)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(-2, 0)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(4, 3π/2)
The polar coordinates of a point are given. Find the rectangular coordinates of the point.(3, π/2)
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot each point given in polar coordinates, and find other polar coordinates of the point for which: (a) r > 0, -2π ≤ θ < 0(b) r < 0, 0 ≤ θ < 2π(c) r > 0, 2π ≤ θ <
Plot point given in polar coordinates.(-3, -3π/2)
Plot point given in polar coordinates.(-2, -π)
Plot point given in polar coordinates.(-3, -3π/4)
Plot point given in polar coordinates.(-1, -π/3)
Plot point given in polar coordinates.(2, -5π/4)
Plot point given in polar coordinates.(4, -2π/3)
Plot point given in polar coordinates.(-3, 120°)
Plot point given in polar coordinates.(-2, 135°)

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