the following Cartesian coordinates to polar coordinates. Any valid (r, θ) pair is allowed. Please use at least 6 significant digits in your calculations. Remember that polar coordinates use radians to measure θ. Please express θ as a multiple of π (do not multiply your answers by π). a) (x, y) = (−7, 2) b) (x, y) = (4, 1) c) (x, y) = (8, −3) d) (x, y) = (−2, −5)

Q: Convert to polar coordinates

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

Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

A:

Q: B] Convert the following equation from polar to Cartesian coordinates: p² = 5 tan(8) - sec(6)

A: We have to solve given problem:

Q: Convert the following polar coordinates to rectangular coordinates. Where appropriate you may use…

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Q: Write in polar form: 8· (cos(155°) + i sin(155°)) 3. (cos(190°) + i sin(190°)) · (cos( ') + i sin(

A: Given, 8·cos155°+isin155°3·cos190°+isin190°

Q: For Cartesian coordinates (x,y)=(1, -√3), find the angle in the polar coordinates in radians.

A: Use the formula for angle in the polar coordinates.

Q: Convert the Cartesian coordinate (-1,-4) to polar coordinates, 0 0 r = Enter exact value.

A:

Q: Find the polar equation of 3x2=4-3y2

A:

Q: Replace the following polar equation by equivalent cartesian equation: r= 2 cos(theta) + 2…

A: See the attachment

Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: The rectangular coordinates of a point are given (-√3, -1). Find polar coordinates of each point.…

A: To find the polar coordinates of the rectangular coordinates -3, -1

Q: Find all four ways how to write point (3, 60°) in polar coordinates.

A: The point r,θ=3,60°