Trigonometry
Solve the following equation for x if x lies in the interval(−π10,π10)\left(-\frac{\pi}{10},\frac{\pi}{10}\right)(−10π,10π) .
y=7tan5xy=7\tan5xy=7tan5x
x=5tan−1(y7)x=5\tan^{-1}\left(\frac{y}{7}\right)x=5tan−1(7y)
x=15tan−1(y7)x=\frac15\tan^{-1}\left(\frac{y}{7}\right)x=51tan−1(7y)
x=5tan−1(7y)x=5\tan^{-1}\left(7y\right)x=5tan−1(7y)
x=15tan−1(7y)x=\frac15\tan^{-1}\left(7y\right)x=51tan−1(7y)