Hvordan vurderer du synd (-8 pi / 12)?

Svar:

# -Sqrt (3) / 2 #

Forklaring:

# synd (- (8 * pi) / 12) #

# = synd (- 120 °) #

# = - synd (120 °) #

# = - synd (180 ° - 60 °) #

# = - synd (60 °) #

# = -sqrt (3) / 2 #

Svar:

# -Sqrt (3) / 2 #

Forklaring:

# -8 * pi / 12 = (pi / 3) -pi #

Så, # synd (-8 * pi / 12) = synd ((pi / 3) -pi) #

# synd (-8 * pi / 12) = synd (- (pi - pi / 3)) #

At vide, at:

# synd (-alpha) = - synd (alpha) #

#sin (-8 * pi / 12) = - synd (pi - pi / 3) #

At vide, at:

#sin (pi-alpha) = synd (alpha) #

#sin (-8 * pi / 12) = -in (pi / 3) #

Så,

#sin (-8 * pi / 12) = -sqrt (3) / 2 #