The rectangular and polar coordinates of a point are (x, y) and (r, θ), where x= 4 and θ= 46◦.

a. Determine the value of r.

b. Determine the value of y.

1 answer

x = r cos T
y = r sin T

4 = r cos 46
r = 4/cos 46 = 5.76

y = 5.76 sin 46 = 4.14