Question

Use technology to convert the polar coordinates (5,6.1) to rectangular coordinates.

A. (0.98,-0.18)
B. (0.98,0.18)
C. (4.92,-0.91)
D. (4.92,0.91)

Answer 1

To convert polar coordinates to rectangular coordinates, use the formulas x = r cos(theta) and y = r sin(theta). Substituting the given values (5, 6.1), we find that the rectangular coordinates are approximately (4.92, 0.98).

Step-by-step explanation:

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

x = r cos(theta)

y = r sin(theta)

Given that the polar coordinates are (5, 6.1), we can substitute the values into the formulas:

x = 5 cos(6.1)

y = 5 sin(6.1)

Using a calculator, we find that:

x ≈ 4.92

y ≈ 0.98

So, the rectangular coordinates are approximately (4.92, 0.98).