Consider A = (1,π/3), B = ((sqrt3),π/6) and C = (1, 0) in polar coordinates. Show that A, B and C determine an equilateral triangle.

Q: Plot the points with polar coordinates (-4, π) and 54 57 Lite Star LIH 44 7) and (3, -5R) 4 26 using…

A: We can draw the given points .

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

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Q: Hw #14 Im A ABC, the mlasure of angle A is 58° and exterior angle at Bmeasures 18: what is the…

A: Given: In ∆ABC, the measure of an angle A is 58° and the exterior angle at B measures 118°.

Q: Find the rectangular coordinates (x, y) that describe the image of the point with polar coordinates…

A:

Q: Change the following from polar points (r, theta) to rectangular points (x,y). a)     (5,150o) b)…

A: We know that polar coordinates (r, theta)  and rectangular coordinates (x,y) are related by the…

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: 2. Convert the polar coordinate (4, 4,=) to Cartesian coordinate

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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: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: 10) Given the polar equation r = 8 sin 0 a) Graph it, and b) Express it in rectangular coordinates.…

A: Given: r=8sinθ

Q: Convert the equation from polar to Cartesian r²sec² +4rcos-r² tan² = 0 a) b) r = 3 sint cost

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Q: 10. Consider the Cartesian point (-2,-2). Determine the polar coordinates of this point.

A: Use cartesian to polar coordinate

Q: lect the correct answer below: 2 3 (2, 2) 3 3 (2, 4) (4, 5) (2,) 4, 316 (15) 1, 3

A: Given query is to find polar coordinates.

Q: Needed this problem to be solved as polar coordinate not as cartesian given

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Q: convert to polar and evaluate

A: The double integral is in rectangular coordinate and write in the polar form as:\\

Q: What is the zero of polar equation r = 3+2cos(θ)?

A: Given polar equation is: r=3+2 cos θ To find the zero of the polar equation, we must have to put θ=0…

Q: If a point has polar coordinates (r, 0) = (10, 5π/6), what is its y-coordinate?

A: Introduction: If the point is given into the polar coordinates, we can convert it into the cartesian…