Paano mo suriin ang kasalanan ((7pi) / 12)?

Sagot:

# ((sqrt (2) + sqrt (6)) / 4) #

Paliwanag:

#sin (7pi / 12) = sin (pi / 4 + pi / 3) #

Gamitin ang formula #sin (a + b) = sina cosb + cosasinb #

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

#sin (pi / 4) = sqrt (2) / 2; cos (pi / 4) = sqrt2 / 2 #

#sin (pi / 3) = sqrt (3) / 2; cos (pi / 3) = 1/2 #

I-plug ang mga halagang ito sa equation 1

#sin (pi / 4 + pi / 3) = (sqrt (2) / 2) (1/2) + (sqrt (2) / 2)

#sin (pi / 4 + pi / 3) = (sqrt (2) + sqrt (6)) / 4 #