Q6: Find the Cartesian coordinates of the following points (given in polar coordinates) a- (-3, 5n/6) c- (5, tan(4/3)) b- (-1, 7n) d- (2/3, 2n/3)

Q: Q17:- In polar coordinates prove that** 第。

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Q: Use the identity cos 20 = cos² 0 – sin² 0 to find a polar equation of the hyperbola x² – y² = 1.

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Q: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: Sketch a graph of the polar equation. C-8 sin(e) /2 /2 10 10 -10 -5 10 -5 -5 -10- /2 /2 10 -10 10…

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Q: Find the Cartesian equation of the polar equation. rsin 0 = 3 4 The Cartesian equation for r sin 0 4…

A: Given polar equation is r sinθ-π4=3find the cartesian equation

Q: Graph the family of polar equations r = 1 + c sin 2u for c = 0.3, 0.6, 1, 1.5, and 2. How does the…

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Q: Solve the problem. Te 1) Plot the point 2, and find other polar coordinates (r, 0) of the point for…

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Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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Q: 1. Find polar coordinates for the point in Cartesian coordinates (1, -1).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: An equation of the line y=4x-2 in polar coordinates is: r=0 r=-4/(2cose -sine ) O r=4/(2cose -sin® )…

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: Interior of r = 9 – sin 0 (above the polar axis) -

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Q: 9. Find other polar coordinates (r,) of the point in polar form given by (3,) for which r <0 and -2π…

A: answer is in next step . please give a like!!

Q: Find the polar equation for a parabola with its focus at the origin and whose directrix is y = -a…

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Q: Q3 Write down the polar form of the equation 2 arctan(y/a)

A: convert the given equation into polar form x2+y2=e-2arctanyx

Q: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

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Q: 1. Convert (V3,-3) from rectangular to polar coordinates with r>0 and 0<0< 2r. Give exact values for…

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Q: 7. Test the polar equation r = for symmetry with respect to the polar axis, the pole, 1+3 cos 0 and…

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Q: Q1) A) Replace the polar equation r? sin 20 = 2 by equivalent Cartesian equation. B; C) Find the…

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Plot the point given in polar coordinates. (4) 57 0, 2r 3 3m 0, 2r 3 Find four additional polar…

A: We have to write polar coordinate:

Q: 13n Match the point in polar coordinates 4, to the points A, B, C, or D. 4 04 4, . OB 4, 4 oc(4.-) C…

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Q: 3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0.

A: r = 2 r = 4 cosϴ

Q: (2. -) an he perch TC Plot the points with polar coordinates (-5, 2n) and 2, using the pencil. 7C 2n…

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Q: Find an equation in x and y that has the same graph as the polar equation r-sin 0 =0 and graph on…

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Q: 5/3 Convert the point with Cartesian coordinates 2 to polar coordinates. Enter exact values for r…

A: Convert the point with Cartesian coordinates 52,-532 to polar coordinates.Enter exact values for r…

Q: nd the Cartesian form of the polar equation sin(20). r3

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Q: Fill in the blank below for Precalculus 1, extremely easy. I will rate and like. Thank you for your…

A: (√6, 2.36) = (2.45, 135°)

Q: 13n Match the point in polar coordinates 2, to the points A, B, C, or D. 4

A: Here simple we satisfy angle property

Q: Match the graph with its polar equation. r = 3 (1 + cos(0)) T/2 1/2 4| -2 2 4 -2 -2 л/2 T/2 3- 2 1…

A: Topic :- Geometry As per our guidelines , In case of multiple different questios ,at a time only one…

Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

Q: 9. (a) Find the rectangular coordinates of the point(s) of the graph of the polar equation r = 4 sin…

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Q: 2. Represent z = 3 – 3i in polar form.

A: As we know that; The polar form for the complex number z=x+iy is: z=rcosθ+isinθ  .....(1) Where;…

Q: 4) The Cartesian coordinates for a point are (-1,-V3). Find polar co- ordinates (r, 6) for the point…

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: Plot the polar point. (25. 푸) 4 2 3 4 2 4 4. 2. klN 3. 3.

A: To plot the given point

Q: Find the slope of the polar curve at the indicated point. r = -9 + 3 sin θ, θ = 0

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Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

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Q: 4T Find the rectangular coordinates of the point whose polar coordinates are given (4, Select one: O…

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Q: Plot the point that has the given polar coordinates. (-3,1) x/2 0 x/2 x/2 x/2 0 Give two other polar…

A: Any point on the polar coordinate system can be represented using the ordered pair: r, θ. The…

Q: 5. Consider the point with rectangular coordinates (1, - V3 ). State the coordinates of the point in…

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Q: Which of the following is the closest distance from the points on the curve given by the equation r…

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Q: Find polar coordinates to represent (-2, -2) with r >0 and 0 <0< 2T.

A: Cartesian to polar conversion (x,y)→(r,θ) where r=x2+y2 θ=tan-1yx

Q: 20. Find two polar coordinates representations for the rectangular coordinate point (-6, 2/3), one…

A: Given: -6,23

Q: Q2. Discuss the symmetry and plot the polar equation r 2-3 sin 0.

A: Given- r=2-3sinθ To find- The symmetry and plot the above polar equation.

Q: Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

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Q: 5. (a) Convert the rectangular point (-2, 2/3) exactly to a polar point with r20 and 0s0<2n . (b)…

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Q: Match the graph with its polar equation. r = 2 sin(0) A/2 A/2 4 2 -2 2 4 - 2 2 - 4 A/2 3| л/2 2 1 1…

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