Question

Rectangular coordinates of a point are given by (2, y) and its polar coordinates are given by (r,π/6). Find y and r.

a y=√3, r=2√3
b y=√3, r=2√3
c y=√3, r=2√3
d y=√3, r=2√3

Answer 1

To find the values of y and r, we can use the relationship between rectangular and polar coordinates.

Step-by-step explanation:

In this question, we are given rectangular coordinates (2, y) and polar coordinates (r,π/6) of a point. To find the values of y and r, we can use the relationship between rectangular and polar coordinates. The x-coordinate in rectangular form is given by x=r*cos(theta) and the y-coordinate is given by y=r*sin(theta). In this case, we have x=2 and theta=π/6. Using these equations, we can find y=√3 and r=2√3.