theamatthechi theamatthechi

14-08-2016
Mathematics

contestada

Convert the polar equation to rectangular form:

r = 2 / [1 + sin(theta)]

Respuesta :

metchelle metchelle

17-08-2016

R = 2 / (1 + sin θ)

Using the following relations:

R = sqrt (x^2 + y^2)
sin θ = y/R

R = 2 / (1 + y/R)
R(1 + y/R) = 2
R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y

Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2

x^2 + 4y - 4

Answer Link

Otras preguntas

Doing more with less in terms of resources invested in business, and, where possible, controlling the resources without owning them refers to:

Which two numbers on the number line have an absolute value of 3? Select the location of both numbers on the number line.

Andy has the following series of displacements: 3 m to the right; 4 m to the left; 5 m to the right; and 2 m to the left. What is his distance traveled?

Pb is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint? show your work I think its 5 but im not sure how

Democracy can be defined as a government in which ________. a. a small exclusive class holds supreme power. b. the crown is passed down from one member of the

Cell city what is the widget?

On a number line, the coordinates of j, k, l, m, n are −10.5, −4, −1, 1.5, 4 respectively. find the lengths of the two segments. are they congruent? jk¯¯¯¯¯¯ an

Usually a company is classified as a single business firm when revenues generated by the dominant business are greater than ____ percent

The COOLEST REGIONS are around the center of Earth or the Equator (0 degrees).true or false

An orthotic is a replacement limb.