Convert the equation y=5 to polar form.
r sinθ = 5
r = 5 cscθ
Thank You!
To convert the equation y = 5 into polar form, we need to express it in terms of polar coordinates (r, θ). In polar form, the equation will relate the radius (r) and the angle (θ) of a point on a polar coordinate system.
First, let's recall the relationship between Cartesian coordinates (x, y) and polar coordinates (r, θ):
x = r * cos(θ)
y = r * sin(θ)
Given that y = 5, we can substitute this into the equation:
5 = r * sin(θ)
Now, let's solve for r by dividing both sides of the equation by sin(θ):
r = 5 / sin(θ)
Thus, the polar form of the equation y = 5 is r = 5 / sin(θ).