Consider the polar function r=2cos(3θ), where 0≤θ≤π. This function represents a rose with three leaves.
(a) What is the equation of the tangent line at θ=π/3?
1. y = -√3x + √3
2. y = √3x - √3
3. y = -√3x - √3
4. y = √3x + √3
(b) What are the equations of the tangent lines?
1. y = -√3x + √3
2. y = √3x - √3
3. y = -√3x - √3
4. y = √3x + √3