Answered: The equation p sin(4) coordinates.… | bartleby

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.9: Polar Equations Of Conics

Problem 1ECP

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The equation psin(4)
coordinates. Enter your answer in the form of an equation.
8 cos(0) is given in spherical coordinates. Convert the equation to Cartesian

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we have the equation θ=b, convert this to rectangular coordinates and then convert to spherical coordinates what shape is this?
find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES \rho 3csc(\varnothing)csc(\theta )
Convert the given equation to the indicated form.a. Convert ? =(1)/(2 − cos(theta)) to a rectangular equation. b. Convert ?^2 + ?^2 − 8? = 0 to a polar equation
Change the polar equation 5r =sin(θ) to Cartesian equation (an equation that only contains x and y
1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. (make it as an equation equal to r)1b) Use a trigonometric identity to show that the polar equation can be simplifiedas r^2 = 2 cos 2θ. Explain why all the solutions of the original equation are stillsolutions of this equation (noting that you have probably divided both sides byr^2).
Scientists and engineers often use polar equations to model the motion of satellites in earth orbit. Let's consider a satellite whose orbit is modeled by the equation r = 22800/(4 − cos(?)), where r is the distance in miles between the satellite and the center of the earth, and ? is the angle shown in the following figure. (a) On the same viewing screen, graph the circle r = 3960 (to represent the earth, which we will assume to be a sphere of radius 3960 mi) and the polar equation of the satellite's orbit.
Replace the polar equation with an equivalent Cartesian equation.r 2 + 2r 2 sin θ cos θ = 576
Sketch the graph of the spherical equation ρ = 2 cos θ sin φ and write the equation in rectangular coordinates.
Please solve this problem in spherical coordinates. Show the complete details, solutions, and explanation. Thank you!

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