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Question #01ea9

1 Answer

Dec 4, 2016

#tan (pi/8) = 1/(1+sqrt(2))#

Explanation:

We have that:

#tan (pi/8) = tan(1/2*pi/4)#

Using the half angle formulae:

#tan (alpha/2) = frac sin alpha (1+cos alpha)#

#tan (pi/8) = frac sin(pi/4) (1+cos(pi/4)) = frac (sqrt(2)/2) (1+sqrt(2)/2) = 1/(1+sqrt(2))#

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