Answer:
The answer is B. (-2, 0)
Step-by-step explanation:
x= 2 ⋅ cos(π) = −2
y=2 ⋅ sin(π) = 0
The rectangular coordinates is (-2 , 0) , Option B is the correct answer.
The equation for a polar point ( r, [tex]\rm \theta[/tex]) is
x = rcos [tex]\rm \theta[/tex]
y =r sin [tex]\rm \theta[/tex]
where (x , y) are rectangular coordinates.
The polar coordinate given is ( 2 , π)
r = 2
[tex]\rm \theta[/tex] = π
so
x = 2 cos π
x = 2 * (-1)
x = -2
y = 2 sin π
y = 2 *0
y = 0
Therefore the rectangular coordinates is (-2 , 0) , Option B is the correct answer.
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