Which of the following parametric equations are equivalent to the polar equation r=3 cos theta

Mathematics

2 answers:

Allushta [10]2 years ago

5 0

To solve the problem you must know that to change from Cartesian to polar coordinates you must write:
x = rcos (θ)
Where "r" is the radius
Likewise y = rsin (θ)
Therefore, in the expression r = 3cos (θ) one can write r as:
r = x / cos (θ)
So:
x / cos (θ) = 3cos (θ)
x = 3cos ^ 2 (θ)
The same for y ...
y = rsin (θ)
y = 3cos (θ) sin (θ).

Finally the correct answer is option 2.
x = 3cos ^ 2 (θ) y = 3cos (θ) sin (θ).

cupoosta [38]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Need help anyone know

EleoNora [17]

The answer is D 22 units

7 0

3 years ago

Read 2 more answers

Suppose there were m married couples, but that d of these 2m. people have died, Regard the d deaths as striking the 2m people at

iren2701 [21]

The function that represents surviving people are X = 2m - d

Given that there are m married couples and d of the 2m of these couples have died, the total people that remain is expressed as:

Total people remaining = Total married couple - those that died

Total married couple = 2m

Total people that died = d

Taking the difference to get the remaining people;

Total people remaining = 2m - d

Hence the function that represents surviving people are X = 2m - d

Learn more on difference here: brainly.com/question/2605546

6 0

2 years ago

If the shaded cross sections of the solids have the same area, which of the following corresponds to the value of a: the side le

Nikolay [14]

Answer:

$4\sqrt{\pi}$

Step-by-step explanation:

The cross section of a sphere is a circle with area $\pi r^2$ , where radius is given as 4
The cross section of the cube is a square with area $a^2$ , where a is side length of square