Jawapan:
# ((sqrt (2) + sqrt (6)) / 4) #
Penjelasan:
#sin (7pi / 12) = sin (pi / 4 + pi / 3) #
Gunakan formula #sin (a + b) = sina cosb + cosasinb #
# sin (pi / 4 + pi / 3) = sin (pi / 4) cos (pi / 3) + cos (pi /
#sin (pi / 4) = sqrt (2) / 2; cos (pi / 4) = sqrt2 / 2 #
#sin (pi / 3) = sqrt (3) / 2; cos (pi / 3) = 1/2 #
Palamkan nilai ini pada persamaan 1
#sin (pi / 4 + pi / 3) = (sqrt (2) / 2) (1/2) + (sqrt (2) / 2)
#sin (pi / 4 + pi / 3) = (sqrt (2) + sqrt (6)) / 4 #