(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]tan(\alpha)=\sqrt{2}-1[/tex] for every alpha in ]0,90°[

2. Relevant equations

1-count tan(2α)

2-conclude the value of α

3. The attempt at a solution

1-after using tan(2α)=(2tanα)/1-tan^2α) i got tan(2α)=(√2-1)/2

2- I know that α is pi/8 but i just don't know how to conclude it.

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# Trigonometric equation

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