You choose a marble at random from a bag containing 3 yellow marbles, 8 red marbles, and 4 blue marbles. You pick a second marbl
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Polar and cartesian equation<h2>Initial explanation</h2>
<h2>STEP 2: secØ equation</h2>
<h2>STEP 3: comparison between given equation and secØ equation</h2>
Let's analyze the relation between r and x and y:
We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.
<h2>STEP 1: given equation</h2>Using the given equation
r = 2 secØ
we have that
Observing the image of the initial explanation we have a right triangle, we know that the equation of
secØ for any right triangle is given by:
In this case,
hypotenuse = r
adjacent side = x
then,
Then, we have that:
This means that:
Then,
x = 2
The equation in cartesian coordinates is x=2.
Answer: x=2