Question

Convert the polar coordinate (6, π) to rectangular coordinates (x, y).

Answer 1

To convert the polar coordinates (6, π) to rectangular coordinates (x, y), use the relationships x = r × cos(θ) and y = r × sin(θ). Plugging in the given values, the rectangular coordinates are x = -6 and y = 0.

Step-by-step explanation:

To convert the polar coordinates (6, π) to rectangular coordinates (x, y), we can use the following relationships:

x = r × cos(θ)

y = r × sin(θ)

Plugging in the given values, we have:

x = 6 × cos(π)

y = 6 × sin(π)

Since cos(π) = -1 and sin(π) = 0, the rectangular coordinates are x = -6 and y = 0.