Question
In polar coordinates,
the graph r=sin(θ)/cos^2(θ)
represents the function y=(a_n)*x^n+(a_(n−1))*x^(n−1)+…+a_0 in Cartesian coordinates,
where n is a positive integer and (a_i) are real numbers. What is the value of n?
the graph r=sin(θ)/cos^2(θ)
represents the function y=(a_n)*x^n+(a_(n−1))*x^(n−1)+…+a_0 in Cartesian coordinates,
where n is a positive integer and (a_i) are real numbers. What is the value of n?
Answers
Steve
r = sin(θ)/cos^2(θ)
r cos^2(θ) = sin(θ)
r^2 cos^2 θ = r sinθ
x^2 = y
Looks like n=2
r cos^2(θ) = sin(θ)
r^2 cos^2 θ = r sinθ
x^2 = y
Looks like n=2