Why is the graph of the rose curve r=4cos2theta

Mathematics

1 answer:

grandymaker [24]3 years ago

8 0

Answer:

The correct answer is B.

Step-by-step explanation:

Any point can be represented in polar form by using the notation:

$A = (r, \theta)$ (1)

And any polar function must satisfy the following definition:

$r = f(\theta)$

Let $r(\theta) = 4\cdot \cos 2\theta$ , where $r$ is the radial distance of any point of the curve from origin and $\theta$ is the direction of any point of the curve with respect to +x semiaxis, measured in radians.

Finally, we proceed to graph the function with the help of a graphing tool and attach the result.

Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:

$Dom\{f\} = [-4,4]$ , $Ran\{f\} = [-4,4]$

Then, the correct answer is B.

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