If cos theta=x/rootx^2+y^2,prove that xsintheta=ycostheta

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getsic

04.05.2021

Mathematics

$\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad r=radius=\frac{diameter}{2}\\\\
-----------------------------\\\\

\begin{array}{lcccclllll}
&radius&\$&Cmfc&\frac{Cmfc}{\$}\\
&---&---&-----&-----\\
\textit{Baby Bear}&6&10&2\pi \cdot 6&\frac{2\pi \cdot 6}{10}\\\\
\textit{Mama Bear}&8&12.50&2\pi \cdot 8&\frac{2\pi \cdot 8}{12.50}\\\\
\textit{Papa Bear}&
\begin{array}{llll}
diameter=18\\
radius=\frac{18}{2}=9
\end{array}&17&2\pi \cdot 9&\frac{2\pi \cdot 9}{17}
\end{array}$

notice, Papa Bear is 18inches in diameter, but radius is half that

and "edge per dollar" simply means, how much circumference per dollar
or $\bf \cfrac{Cmfc}{\$}$

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