Question #23e9c

1 Answer
turksvids
Jan 27, 2018

#sqrt(3)/2#

Explanation:

The sum formula for sine says:

#sin(x+y)=sin(x)cos(y)+cos(x)sin(y)#

For the given expression we have #x = pi/12# and #y=pi/4#, so

#sin(pi/12)cos(pi/4)+cos(pi/12)sin(pi/4) = sin(pi/12+pi/4)#

#sin(pi/12+pi/4) = sin(pi/12+(3pi)/12) = sin((4pi)/12)#

#=sin(pi/3) = sqrt(3)/2#

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