Double-, Half-Angle Idents: If tan(pi/8)=sqrt{A}-B, find A,B using half-angle ident.

[patrickp9]

Could you please help me on this problem

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If \(\displaystyle \tan\left(\dfrac{\pi}{8}\right)\, =\, \sqrt{\strut A\,}\, -\, B,\) then, by using a half-angle formula, find the values of A and B.

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I understand the unit however the wording has thrown me off.

Thanks in advance!

 

[tkhunny]

Do you know \(\displaystyle \tan\left(\dfrac{\pi}{4}\right)\)?

 

[stapel]

If \(\displaystyle \tan\left(\dfrac{\pi}{8}\right)\, =\, \sqrt{\strut A\,}\, -\, B,\) then, by using a half-angle formula, find the values of A and B.

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I understand the unit however the wording has thrown me off.

Which part of "the wording" "has thrown you off"? Which part, specifically, are you needing explained?

When you reply, please include a clear listing of your thoughts and efforts so far, such as the half-angle formula you copied down for tangents. Thank you!