# Math Help - Trigonometric equations (2)

1. ## Trigonometric equations (2)

Find the general solution of:

5cot(3x + 4) = 1

2. Originally Posted by LilDragonfly
Find the general solution of:

5cot(3x + 4) = 1
Thus,
$\cot (3x+4)=\frac{1}{5}$
Let,
$y=3x+4$
Then,
$\cot y=\frac{1}{5}$
which you find that,
$y=\cot^{-1}(1/5)+\pi k$
Thus,
$3x+4=\cot^{-1}(1/5)+\pi k$
Thus,
$x=\frac{1}{3}\cot^{-1}(1/5)+\frac{\pi k}{3}-4$