Find the rectangular coordinates of the point with polar coordinates {2, 7pi/6}

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exam 20 q54

here
r=2, Ɵ=7pi/6
we know,
x = r * cosƟ=2 * cos(7pi/6) = 2 * cos(210degree) = 2 * (-√3/2) = -√3
y =r * sinƟ=2 * sin(7pi/6) = 2 * sin(210degree) = 2 * (-1/2) = -1

thus the rectangular coordinates (-√3,-1)