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)#