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sebasp42
07.04.2020 •
Mathematics
Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (a) (2, π) (x, y) = WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot ((b) (4, −2π/3) (x, y) = WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (c) (−4, 3π/4) (x, y) = WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot
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Ответ:
(a) ∴(x,y)= (-2,0)
(b) ∴(x,y)= (-2,
)
(c) ∴(x,y)=![(2\sqrt2,-2\sqrt 2)](/tpl/images/0588/0482/fdd00.png)
Step-by-step explanation:
To convert from polar coordinate to Cartesian Coordinate(x,y)
x = r cos θy = r sin θ(a)
Here r = 2 and θ = π
x= 2 cos π = -2
y= 2 sin π = 0
∴(x,y)= (-2,0)
(b)
Here r = 4 and![\theta=-\frac{2\pi}{3}](/tpl/images/0588/0482/23b43.png)
x= 4 cos
= - 2
y= 4 sin
=![=-2\sqrt3](/tpl/images/0588/0482/12afd.png)
∴(x,y)= (-2,
)
(c)
Here r= -4 and![\theta= \frac{3\pi}{4}](/tpl/images/0588/0482/fc500.png)
∴(x,y)=![(2\sqrt2,-2\sqrt 2)](/tpl/images/0588/0482/fdd00.png)
Ответ:
Year 3 +12 =133
Year 4 +13 =146
Year 5 +14 =160
Year 6 +15 =175
Year 7 +16 =191
Year 8 +17 =208
Year 9 +18 =226
And so on. :)