Find the general solution of:

5cot(3x + 4) = 1

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- May 14th 2006, 04:43 PMLilDragonflyTrigonometric equations (2)
Find the general solution of:

5cot(3x + 4) = 1 - May 14th 2006, 06:55 PMThePerfectHackerQuote:

Originally Posted by**LilDragonfly**

$\displaystyle \cot (3x+4)=\frac{1}{5}$

Let,

$\displaystyle y=3x+4$

Then,

$\displaystyle \cot y=\frac{1}{5}$

which you find that,

$\displaystyle y=\cot^{-1}(1/5)+\pi k$

Thus,

$\displaystyle 3x+4=\cot^{-1}(1/5)+\pi k$

Thus,

$\displaystyle x=\frac{1}{3}\cot^{-1}(1/5)+\frac{\pi k}{3}-4$