Paano mo sinusuri ang kasalanan (-8 pi / 12)?

Paano mo sinusuri ang kasalanan (-8 pi / 12)?
Anonim

Sagot:

# -sqrt (3) / 2 #

Paliwanag:

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

# = kasalanan (- 120 °) #

# = - kasalanan (120 °) #

# = - kasalanan (180 ° - 60 °) #

# = - kasalanan (60 °) #

# = -sqrt (3) / 2 #

Sagot:

# -sqrt (3) / 2 #

Paliwanag:

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

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

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

Alam na:

# sin (-alpha) = - sin (alpha) #

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

Alam na:

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

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

Kaya,

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