Question

Use technology to convert the polar coordinates (5,6.1) to rectangular coordinates. (0.98, – 0.18) (0.98, 0.18) (4.92, – 0.91) (4.92, 0.91)

Answer 1

The rectangular coordinates are approximately (0.98, 0.18).

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

x = r * cos(theta)

y = r * sin(theta)

For the polar coordinates (5, 6.1), we can substitute r=5 and theta=6.1 into the formulas to get:

x = 5 * cos(6.1) ≈ 0.98

y = 5 * sin(6.1) ≈ 0.18

Therefore, the rectangular coordinates are approximately (0.98, 0.18).