Thread: Need help with curve tracing

y=acosθ(4sin²θ-1)
can anybody please help me trace this curve btw can you also tell me its name because this should also have a physical significance please help me its my mathematics assignment and i've tried much over it.

Tis the forums policy not to give answers to assignments.

I suggest you either plot some points or find a graphical calculator.

can you just help me with te name of the curve?

Originally Posted by Nirmal19

y=acosθ(4sin²θ-1)

If by "trace this curve" you mean "graph it", then you can

first find the functions "zeros", if any, that is, the values of θ s.t. y = 0. (shouldn't be too difficult to fator)
then you can take its derivative, then find the critical points such that y' = 0. then find the sign between each interval to see where it's increasing or decreasing
then you can take its second derivative, find the critical points such that y'' = 0. then find the sign between each interval to see where it's concave up and concave down.

this should give you enough information to draw a graph.