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10:05 AM
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4
Q: solve $\tan{x} = \tan{3x}$

user360165I'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
Q: How to solve $a_1 \sin (x+y) + a_2 \sin (x-y)=0$

unseen_riderI'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 $y$

 
 
2 hours later…
12:32 PM
Now are down to 50.
 

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