Question

*PLEASE GET SOMEBODY WHO KNOWS TRIGONOMETRY AND HAS EXPERTISE IN TRIGONOMETRY* Length of the rose pedals on the graph? My current high school math teacher said I did not have to round but I got a decimal answer for this problem

Answer 1

The length of a curve in polar coordinate

`\begin{gathered} L=\int_a^b\sqrt{r^2+((dr)/(d\theta))^2} \\ \\ \Rightarrow(dr)/(d\theta)=24\cos(4\theta) \end{gathered}`

Given r = 6 sin(4 theta)

`L=\int_0^2√(36\sin^2\theta+576\cos^2(4\theta))d\theta=`

L = 32.09