Question

Transform the polar equation in rectangular coordinates. Type an equation: r = 14 - sin(θ).

a) x=14−sin(y)
b) x=14cos(θ)
c) x=14−cos(y)
d))x=14−sin(θ)

Answer 1

To transform the polar equation r = 14 - sin(θ) to rectangular coordinates, you can use the relationships x = r * cos(θ) and y = r * sin(θ).

Step-by-step explanation:

The polar equation r = 14 - sin(θ) can be transformed into rectangular coordinates by using the relationships x = r * cos(θ) and y = r * sin(θ).

Using these relationships, we can substitute r = 14 - sin(θ) into the equations to obtain:

x = (14 - sin(θ)) * cos(θ)

y = (14 - sin(θ)) * sin(θ)

So, the correct answer is x = (14 - sin(θ)) * cos(θ).