Problems
Surface area of pyramid 4
Surface area of pyramid 4
Find the total surface area of the right square pyramid if the lateral edge \textbf{b} forms an angle \textbf{α} with the plane of the base.
\InputFile
In the only flow through the gap two integers: the lateral edge of \textbf{b} (\textbf{0} < \textbf{b ≤ 100}) and its angle \textbf{α} with the base plane in degrees (\textbf{0} < \textbf{α ≤ 90}).
\OutputFile
The only number - the desired area. Result output to three decimal.
Input example #1
4 45
Output example #1
43.713