Question #bb059

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Answer 1 · 2016-12-18T10:57:11

$sin((29pi)/12)$

$=sin(2pi+(5pi)/12)$

$=sin((5pi)/12)$

$=sqrt(1/2(1-cos((2*5pi)/12)$

$=sqrt(1/2(1-cos((5pi)/6))$

$=sqrt(1/2(1-cos(pi-pi/6))$

$=sqrt(1/2(1+cos(pi/6))$

$=sqrt(1/2(1+sqrt3/2)$

$=sqrt(1/8(4+2sqrt3)$

$=sqrt(1/8(sqrt3+1)^2$

$=(sqrt3+1)/(2sqrt2)$