# Calculus 2

Convert r = 1 / (6cos(θ)+8sin(θ)) to an equation in rectangular coordinates (i.e., in terms of x and y).

A similar example I found, where r = 1 / (cos (θ) − sin (θ)), found the rectangular equation to be y = x - 1. How would this answer change for my problem now that sin and cos have coefficients?

1. 👍
2. 👎
3. 👁
1. the coefficients just change the slope of the line.
r(6cosθ+8sinθ) = 1
6x+8y = 1

1. 👍
2. 👎

## Similar Questions

1. ### math

Find all the values of x in the interval [0,2π] that satisfy the equation: 8sin(2x)=8cos(x)

2. ### Math

1. Write the coordinates of point A A. (2, -3) B. (-3, 2) *** C. (-2, 3) D. (3, -2) 2. Laura is designing a rectangular porch for her house. On her scale drawing, the vertices of the rectangle are (2, 7), (8, 7), and (2, 9). What

3. ### calculus help

Find an equation in cylindrical coordinates for the rectangular equation. y^2 = x

4. ### Math

The letters r and θ represent polar coordinates. Write the following equation using rectangular coordinates (x, y). Given equation r=5

1. ### Math

Convert theta = pi/4 to rectangular equation

2. ### Trig/pre-calc

r=8cos(theta)+5sin(theta), convert the polar equation into a rectangular equation and then complete the square and determine the center radius...? Help?! I missed the section, and am not getting anywhere with the text...

convert the polar equation to rectangular form. 1.) r sec(theta) = 3 2.) r = 4 cos(theta) - 4 sin(theta) convert from rectangular equation to polar form. 1.) x^2 + (y-1)^2 = 1 2.) (x-1)^2 + (y+4)^2 = 17

4. ### Pre calculus

in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates. Thanks :)

1. ### Trig (math)

1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the

2. ### Math

Convert the rectangular coordinates into polar coordinates (-5,-5sqrt3)

3. ### Calculus

Convert the polar equation to rectangular coordinates: r = 2-cos theta ...and find all points of vertical and horizontal tangency.

4. ### Calculus

Convert the following point from rectangular to spherical coordinates: (1, −√3, 2√3). I found the answer to be (4, -pi/3, 0.5235987755983), but my online homework is stating that my middle coordinate (-pi/3) is incorrect. I