Which of the following is the Cartesian equation for the polar
equation r sin θ = 6
a) y=6
b) x=6
c) x+y= 6
d) x-y= 6
since y = r sinθ,
you can recognize as a straight line y=6
To determine the Cartesian equation from a given polar equation, we need to use the following equations:
- x = r * cos(θ)
- y = r * sin(θ)
In this case, the given polar equation is r sin θ = 6.
To find the Cartesian equation, we can convert this polar equation using the equations mentioned above.
First, substitute r * sin θ with y and the equation becomes:
y = 6
So, the correct option is:
a) y = 6