\(f(x) = 3x^{2}tan(\frac{\pi x}{2})\)
\(f(x) = 3x^{2}[\frac{1 - cos(\pi x)}{sin(\pi x)}]\)
\(f(x) = 3x^{2}[csc(\pi x) - cot(\pi x)]\)
\(f(x) = 3x^{2}csc(\pi x) - 3x^{2}cot(\pi x)\)
\(y = 3x^{2}csc(\pi x) - 3x^{2}cot(\pi x)\)
\(x = 3y^{2}csc(\pi x) - 3y^{2}cot(\pi x)\)
\(x = 3y^{2}csc(\pi x) - 3y^{2}cot(\pi x)\)
\(3 = 3y^{2}csc(\pi x) - 3y^{2}cot(\pi x)\)
\(3 = 3y^{2}[csc(\pi x)] - 3y^{2}[cot(\pi x)]\)
\(3 = 3y^{2}[csc(\pi x) - cot(\pi x)]\)
\(3 = 3y^{2}[\frac{1 - cos(\pi x)}{sin(\pi x)}]\)
\(3 = 3y^{2}tan(\frac{\pi}{2}y)\)
\(1 = y^{2}tan(\frac{\pi}{2}y)\)
\(\frac{1}{tan(\frac{\pi}{2}y)} = y^{2}\)
\(cot(\frac{\pi}{2}y) = y^{2}\)
\(cot^{-1}[cot(\frac{\pi}{2}y)] = cot^{-1}(y^{2})\)
\(\frac{\pi}{2}y = cot^{-1}(y^{2})\)
\(\pi y = 2cot^{-1}(y^{2})\)
\(y = \frac{2cot^{-1}(y^{2})}{\pi}\)
\(x = 3y^{2}csc(\pi x) - 3y^{2}cot(\pi x)\)
\(5 = 3y^{2}csc(\pi x) - 3y^{2}cot(\pi x)\)
\(5 = 3y^{2}[csc(\pi x)] - 3y^{2}[cot(\pi x)]\)
\(5 = 3y^{2}[csc(\pi x) - cot(\pi x)]\)
\(5 = 3y^{2}[\frac{1 - cos(\pi x)}{sin(\pi x)}]\)
\(5 = 3y^{2}tan(\frac{\pi}{2}y)\)
\(1\frac{2}{3} = y^{2}tan(\frac{\pi}{2}y)\)
\(\frac{5}{3tan(\frac{\pi}{2}y)} = y^{2}\)
\(1\frac{2}{3}cot(\frac{\pi}{2}y) = y^{2}\)
\(\sqrt{1\frac{2}{3}cot(\frac{\pi}{2}y)} = y\)
