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AnnyKZ [126]
2 years ago
10

Which set of rectangular coordinates describes the same location as the polar coordinates (6sqrt 2, 3pi/4)

Mathematics
1 answer:
Sonja [21]2 years ago
8 0
Polar coordinates=<span>(6sqrt 2, 3pi/4)=(r, theta)→r=6 sqrt 2, theta=3pi/4
Rectangular coordinates=(x,y)=?

x=r cos theta=(6 sqrt 2) cos(3pi/4)=(6 sqrt 2)(-sqrt 2 / 2)
x=-3 (sqrt 2)^2=-3(2)→x=-6

y=r sin theta=(6 sqrt 2) sin (3pi/4)=(6 sqrt 2)(sqrt 2 / 2)
y=3 (sqrt 2)^2=3(2)→y=6

Rectangular coordinates of the point = (x,y) =(-6,6)

Answer: Option a. (-6,6) </span>
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We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

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Then, we need to move the 15x by subtracting it from both sides.

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S_A_V [24]

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