Shelia Lawrence

2021-12-30

I need to prove trigonometric equation

$\mathrm{tan}2x=\frac{2\mathrm{sin}x\cdot \mathrm{cos}x}{{\mathrm{cos}}^{2}x-{\mathrm{sin}}^{2}x}$

esfloravaou

Beginner2021-12-31Added 43 answers

Hints:

$\mathrm{cos}2x-\mathrm{sin}2x=\mathrm{cos}2x$

$2\mathrm{sin}x\mathrm{cos}x=\mathrm{sin}2x$

Orlando Paz

Beginner2022-01-01Added 42 answers

Note that

$\mathrm{sin}\left(2x\right)=2\mathrm{sin}x\mathrm{cos}x$

$\mathrm{cos}2x={\mathrm{cos}}^{2}x-{\mathrm{sin}}^{2}x$

nick1337

Expert2022-01-08Added 777 answers

If you know

Then

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