Trigonometry
Solve the following equation for x if x lies in the interval (0,π5)\left(0,\right.\left.\frac{\pi}{5}\right)(0,5π) .
y=16cot5xy=\frac16\cot5xy=61cot5x
x=15cot−1(y6)x=\frac15\cot^{-1}\left(\frac{y}{6}\right)x=51cot−1(6y)
x=5cot−1(y6)x=5\cot^{-1}\left(\frac{y}{6}\right)x=5cot−1(6y)
x=15cot−1(6y)x=\frac15\cot^{-1}\left(6y\right)x=51cot−1(6y)
x=5cot−1(6y)x=5\cot^{-1}\left(6y\right)x=5cot−1(6y)