Trig

Use the half angle formula to find the exact value of

tan 7 pie/8

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  1. tan(7pi/8) = tan(7pi/4/2)

    hence
    tan(7pi/8)=sin(7pi/4)/(1+cos(7pi/4))

    sin(7pi/4)=-(root2)/2
    cos(7pi/4)=(root2)/2

    so
    tan(7pi/8)= -(root2)/2/(1+(root2)/2)

    and then tidy up.

    Sorry about the expressions, not easy to do in text.

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  2. How do you tidy it up?

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