Solve this equation: $$(7x-10)\sqrt{x-2}=2(1+\sqrt{2x-1})(2\sqrt{2x-3}+\sqrt{x-2})$$ I've created it and i have a nice solution, do you want to solve?

I'm asked to solve $\tan{x} = \tan{3x}$ Here's my attempt: $$\tan{x} = \tan{3x}$$ $$\tan{x} = \tan{(x + 2x)}$$ $$\tan{x} = \frac{\tan{x} + \tan{2x}}{1-\tan{x}\tan{2x}}$$ Recall the identity: $$\tan{2x} = \frac{2\tan{x}}{1-\tan^2{x}}$$ So then we have: $$\tan{x} = \frac{\tan{x} + \frac{2\tan{...

I'm looking for methods on how to solve; $$a_1 \sin (x+y) + a_2 \sin (x-y)=0$$ where 1) $a_1, a_2$ are constants 2) $a_1, a_2$ are functions of $x$ and $y$

Consider the following trigonometric equation, which needs to be solved for $\theta$: $\tan{(\pi\cot{\theta})}=\cot{(\pi\tan{\theta})}$ The solution given is: $\tan{\theta}=\dfrac{2n+1\pm\sqrt{4n^2+4n-15}}{4}$ for integral values of $n$, AND $n>1$ or $n<-2$. The method I adopted to arrive at t...

The tag trigonometric-equations has been created recently. It is still listed among new tags. At the moment there are 4 questions in that tag. As far as I can say, questions about trigonometric equations have been tagged trigonometry so far. And also trigonometric-functions and trigonometric-ide...