Find the polar coordinates (r, θ) corresponding to the specified conditions. When the point in the normal coordinates is (1, −√3)

Q: Find the angle of rotation and eliminate the x-y term 4x2 - 4xy + y2 - 6x + 12 = 0

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Q: Write the (x,y) coordinates for P in terms of cosine and sine.

A: The objective is to write the (x,y) coordinates for P in terms of cosine and sine.

Q: Evaluate xdydx (convert to polar coordinates)

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Q: Find an equation in polar coordinates of the line y = 2x- 4 Note: use "t" for &

A: On solving this we will get

Q: Convert (−2, −9) to polar coordinates.

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Q: Find the equation in polar coordinates of the line through the origin with the slope 1/5 .

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Q: Find polar coordinates of the point whose rectangular coordinates are (0, -4). Express θ in radians.

A: Rectangular corrdinates = x,y = 0,-4Let, the polar coordinates be = r,θFormula for calculating r and…

Q: 2. Find polar coordinates a. (3-√3.3) b. (0, -2)

A: We need to find the polar coordinates of the given points :