I've been frustrated with this problem for hours now, no idea how to do it. Any help would be appreciated, thank you!

3sec(x)tan(x) - 4csc(x)cot(x) = 0

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- Nov 17th 2009, 09:42 PMTogechu64Help! Solving Trig equation!
I've been frustrated with this problem for hours now, no idea how to do it. Any help would be appreciated, thank you!

**3sec(x)tan(x) - 4csc(x)cot(x) = 0** - Nov 17th 2009, 10:38 PMmathaddict
HI

$\displaystyle 3\sec x \tan x-4 \csc x \cot x=0$

$\displaystyle 3(\frac{1}{\cos x})(\frac{\sin x}{\cos x})-(\frac{4}{\sin x})(\frac{\cos x}{\sin x})=0$

$\displaystyle \frac{2\sin x}{\cos^2 x}-\frac{4\cos x}{\sin^2 x}=0$

$\displaystyle 3\sin^3 x-4\cos^3 x=0$

$\displaystyle (\frac{\sin x}{\cos x})^3=\frac{4}{3}$

Can you take it from here ? - Nov 17th 2009, 10:56 PMTogechu64
I think so, thanks alot!!