convert the point to rectangular coordinates (7,1.75)
To convert a point from polar coordinates to rectangular coordinates, you can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
Given the point (7, 1.75), we can see that the first value, 7, represents the magnitude or distance from the origin (r). The second value, 1.75, represents the angle (θ) in radians.
Using the formulas, we can calculate the rectangular coordinates as follows:
x = 7 * cos(1.75)
y = 7 * sin(1.75)
Now, let's calculate the values:
x ≈ 7 * cos(1.75) = -5.905
y ≈ 7 * sin(1.75) = 1.671
Therefore, the rectangular coordinates of the point (7, 1.75) are approximately (-5.905, 1.671).