Guided course 3:00Determining Different Coordinates for the Same Point Example 2Callie Rethman133views
06:24How to Plot Polar Coordinates with Negative arguments in Radians on the Polar GridAnil Kumar314views
Multiple ChoicePlot the point on the polar coordinate system.(6,−11π6)(6,-\frac{11\pi}{6})(6,−611π)117views
Multiple ChoicePlot the point on the polar coordinate system.(−2,2π3)(-2,\frac{2\pi}{3})(−2,32π)112views
Multiple ChoicePlot the point (3,π2)(3,\frac{\pi}{2})(3,2π) & find another set of coordinates, (r,θ)(r,θ)(r,θ), for this point, where:(A) r≥0,2π≤θ≤4πr≥0,2π≤θ≤4πr≥0,2π≤θ≤4π,(B) r≥0,−2π≤θ≤0r≥0,-2π≤θ≤0r≥0,−2π≤θ≤0,(C) r≤0,0≤θ≤2πr≤0,0≤θ≤2π r≤0,0≤θ≤2π.106views
Multiple ChoicePlot the point (5,−π3)(5,-\frac{\pi}{3})(5,−3π), then identify which of the following sets of coordinates is the same point.91views
Multiple ChoicePlot the point (−3,−π6)(-3,-\frac{\pi}{6})(−3,−6π), then identify which of the following sets of coordinates is the same point.89views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, 225°)212views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (−3, 5π/4)148views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, π)146views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, −135°)163views
Textbook QuestionIn Exercises 7–12, test for symmetry with respect to a. the polar axis. b. the line θ=π2. c. the pole. r = 4 + 3 cos θ231views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (−3, −3π/4)201views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (2, 45°)205views
Textbook QuestionConvert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of θ.179views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (3, 90°)190views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 cos θ148views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (3, 4π/3)165views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − sin θ145views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (−1, π)151views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + 2 cos θ173views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (−2, − π/2)157views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + cos θ150views
Textbook QuestionIn Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0. (5, π/6)163views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 + 2 cos θ161views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 − 3 sin θ149views
Textbook QuestionIn Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0. (4, π/2)273views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (7, 140°) (−7, 320°)134views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 4 sin 3θ155views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (4, 120°) (−4, 300°)157views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (2, − 3π/4) (2, − 7π/4)151views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−2, 7π/6) (−2, −5π/6)149views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−5, − π/4) (−5, 7π/4)184views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − 3 sin θ220views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−6, 3π) (6, −π)181views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (4, 90°)315views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r cos θ = −3156views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = cos θ/2162views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (−4, π/2)219views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (7.4, 2.5)220views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 1 / 1−cos θ160views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. (−2, 2)174views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _ (2,−2√3)169views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 2 + 3 sin 2θ163views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _ (−√3,−1)140views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. (5, 0)237views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. 3x + y = 7209views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x = 7169views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x² + y² = 9160views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. (x − 2)² + y² = 4208views
Textbook QuestionIn Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system. θ = 3π/4151views
Textbook QuestionIn Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system. r = 5 csc θ193views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 8221views
Textbook QuestionIn Exercises 61–63, test for symmetry with respect to a. the polar axis. b. the line θ = π/2. c. the pole. r = 5 + 3 cos θ188views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 4 csc θ229views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + 2 sin θ190views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + cos θ154views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 12 cos θ268views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 6 cos θ + 4 sin θ216views
Textbook QuestionIn Exercises 79–80, convert each polar equation to a rectangular equation. Then determine the graph's slope and y-intercept. r sin (θ − π/4) = 2151views
Textbook QuestionIn Exercises 81–82, find the rectangular coordinates of each pair of points. Then find the distance, in simplified radical form, between the points. (2, 2π/3) and (4, π/6)161views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁶ − 1 = 0180views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁴ + 16i = 0220views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. _ x³ − (1 + i√3 = 0189views
Textbook QuestionIn calculus, it can be shown that e^(iθ) = cos θ + i sin θ. In Exercises 87–90, use this result to plot each complex number. e^(πi/4)158views
Textbook QuestionIn calculus, it can be shown that e^(iθ) = cos θ + i sin θ. In Exercises 87–90, use this result to plot each complex number. -e^-πi142views