 7:13 AM
@tilper Do you think that we need radical-equations tag. There already is the tag (radicals). — Martin Sleziak 17 secs ago
-8  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?

1 hour later… 8:20 AM
Questions currently tagged :
4  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: $$\tan{x} = \frac{\tan{x} + \frac{2\tan{... 0  I'm looking for methods on how to solve;$$a_1 \sin (x+y) + a_2 \sin (x-y)=0$$where 1) a_1, a_2 are constants 2) a_1, a_2 are functions of x and y 0  Consider the following trigonometric equation, which needs to be solved for \theta: \tan{(\pi\cot{\theta})}=\cot{(\pi\tan{\theta})} The solution given is: \tan{\theta}=\dfrac{2n+1\pm\sqrt{4n^2+4n-15}}{4} for integral values of n, AND n>1 or n<-2. The method I adopted to arrive at t... 1  Given$$\tan a = \frac{1}{7} \qquad\text{and}\qquad \sin b = \frac{1}{\sqrt{10}}a,b \in (0,\frac{\pi}{2})$$Show that$$a+2b=\frac{\pi}{4} Does exist any faster method of proving that, other than expanding $\sin{(a+2b)}$? Thank You!

2  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...