Convert 12r=cosec(theta) into a rectangular equation.

Q: Convert (2,-pi/6) into its rectangular coordinates

A: We can solve this as follows:

Q: Convert to polar coordinates

A: Here we will convert given Cartesian coordinates in polar coordinates,

Q: Convert r=2sec(theta)tan(theta) into a rectangular equation.

A:

Q: Convert the equation 16x2 + 25y? = 400 from cartesian to polar

A: See attached file for a step by step explanation.

Q: Write each equation with rectangular coordinates.      r2 =  4 sin 2 theta

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Q: ector with magnitude 12 in the direction

A: Vector: Let the vector be  a→=xi+yjThe magnitude of the vector is given by 12.We need to find the…

Q: Convert the equation to polar form. y = 6x2

A: The given equation is y = 6x2.

Q: Convert the rectangular equation to polar form. 12. Va? + y? = x²

A: We know  X= r cos(θ)  y= r sin(θ)  r= √(x2 + y2)

Q: Write the Sinusoidal equation. Show as much details as necessary regarding the amplitude, period,…

A:

Q: Convert each equation from rectangular to polar form 2) 1) у%3D 3

A: The solution is given below.

Q: Convert the equation to polar form. 3x = 3y

A: 3x=3yConvert into polar form by substituting x=rcosθ and y=rsinθ

Q: Convert each equation from polar to rectangular form. 9) r= 4csc 0 10) r= 2sin (0 +") 11) r² = 5sec…

A: We have to use relation between cartesian and polar co ordinate system  x = r cosθ  , y= r sinθ…

Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

Q: Con vert to polar Coordinate

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Q: convert to polar coordinate 5,

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Q: Convert the rectangular equation to polar form  x^2 + y^2 = 64

A: To get polar equation substitute the value of x and y in the rectangular equation. x=rcosθ y=rsinθ

Q: Change r2 =9 sin 2u to rectangular coordinates.

A: given: r2=9sin2u we have to change it into rectangular coordinates. as we know that in rectangular…

Q: + i5: and B = 4

A:

Q: Convert (0, -2) to polar coordinates.

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Q: Convert the rectangular coordinates to polar coordinates (-1,-1)

A: Solution of the problem as follows

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given surface in spherical co-ordinate system is ρ=sin Φ sin θ     .......(1)

Q: . Convert to rectangular coordinates.

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Q: Convert the equation to polar form. (Use variables r and 0 as needed.) y = 6x2

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Q: Convert the rectangular coordinates, ( 5, -5 ), to polar coordinates, with r< 0 and 0 <0 < 360°.

A:

Q: Convert from rectangular to polar coordinates: (−1,√3)

A: Given rectangular coordinates = -1,3

Q: Convert to rectangular coordinates. Use exact values.    (1,pi)

A: To convert (1,π) rectangular coordinates

Q: Convert the rectangular equation to polar form. 7x — у + 4 %3Dо |

A:

Q: Convert from rectangular to polar coordinates:(−2, 2)

A: The rectangular coordinate system includes the points of the form x,y . The rectangular coordinate…

Q: Convert the equation from polar to rectangular r=5sin(theta)

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Q: Convert each pair of polar coordinates to rectangular coordinates. (4, п)

A: Solving the problem by finding the restangular coordinate.

Q: Convert r = 3sin(θ) to an equation in rectangular coordinates.

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Q: Convert the equation to polar form: 3x=3y

A: To Convert the equation to polar form

Q: Convert to rectangular coordinates. . (3, 270 degree )

A: r, θ=3, 270°

Q: Plot the point on a polar coordinate system. (-3, )

A:

Q: Write each equation with rectangular coordinates.      r2 =  4 cos 2 theta

A: We have to write the given equation in rectangular coordinates: r2=4 cos 2θ We know the identity,…

Q: Convert the equation to polar form. (Use variables r and 0 as needed.) y = = 8x2

A:

Q: The equation θ =5π/4 can be converted to a rectangular equation by taking the_______ of both sides…

A: for converting θ=5π4 in rectangular equation we take tan both side and then replace tanθ with yx

Q: Convert the equation x + y =2 to polar coordinates.

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Q: . Convert the rectangular equation x2 + y2 = 64 to polar form.

A: We have  x2+y2=64  Substitute x=r cos θ and y=r sin θ x2+y2=64r cos θ2+r sin θ2=64r2 cos2θ+r2…

Q: Convert the rectangular equation to polar form. -x+4y-3=0

A:

Q: Convert the polar coordinate (8, ) to Cartesian coordinates. 4 -

A: In this question we will use basic of algebra i.e concept of conversion of polar coordinates to…

Q: Convert the rectangular equation to polar form  6x+ 4y -5 =0

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Q: convert the rectangular coordinate to a polar coordinate.

A: Topic - complex number

Q: Convert to rectangular coordinates: 1 = 2t- 1. y = t +2 for tin (-oo, o0)

A: Given: To convert into rectangular coordinates x=2t-1, y=t2+2 for t in (-∞, ∞)

Q: Convert (-7,-7) to polar coordinates.

A: For rectangular coordinates (x, y) Polar coordinates (r, θ) is given as

Q: Convert the polar coordinate ( 5, to Cartesian coordinates.

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Q: Write the polar coordinates (9. ) as rectangular coordinates,

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Q: Convert the Cartesian coordinate (-2,4) to polar

A: (5)Cartesian coordinates = x, y = -2, 4Let the polar coordinates be = r, θFormula for calculating r…

Q: 4. Change to an equiv- 1+2 sin 0 alent rectangular equation.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.