Question

Find the rectangular coordinates of the point (square root of 3, pi/6)

Answer 1

Answer:

x = 1.5

y = 0.866

Step-by-step explanation:

To convert from polar coordinates to rectangular coordinates, we can use the following formulas:

x = r * cos(theta)

y = r * sin(theta)

So, if our point if (sqrt(3), pi/6), that means r = sqrt(3) and theta = pi/6, so we have that:

x = sqrt(3) * cos(pi/6) =  sqrt(3) * sqrt(3)/2 = 3/2 = 1.5

y = sqrt(3) * sin(pi/6) =  sqrt(3) * 1/2 = sqrt(3)/2 = 0.866