Tanong # 7218e

Tanong # 7218e
Anonim

Sagot:

Tingnan sa ibaba

Paliwanag:

LHS = kaliwang bahagi, RHS = kanang bahagi

LHS =# (kasalanan (2x + x)) / (1 + 2cos2x) #

# = (sin2xcosx + cos2xsinx) / (1 + 2cos2x) #

# = ((2sinxcosx) cosx + (1-2sin ^ 2x) sinx) / (1 + 2cos2x) #

# = (2sinxcos ^ 2x + sinx-2sin ^ 3x) / (1 + 2 (1-2sin ^ 2x)) #

# = (2sinx (1-sin ^ 2x) + sinx-2sin ^ 3x) / (1 + 2-4sin ^ 2x) #

# = (2sinx-2sin ^ 3x + sinx-2sin ^ 3x) / (3-4sin ^ 2x) #

# = (3sinx-4sin ^ 3x) / (3-4sin ^ 2x) #

# = (sinx (3-4sin ^ 2x)) / (3-4sin ^ 2x) #

# = sinx #

# = RHS #