Hoe toon je tanx / tanx + sinx = 1/1 + cosx?

Hoe toon je tanx / tanx + sinx = 1/1 + cosx?
Anonim

# LHS = tanx / (tanx sinx +) #

# = Annuleren (tanx) / (annuleren (tanx) (1 + sinx / tanx)) #

# = 1 / (1 + sinx * cosx / sinx) = 1 / (1 + cosx) = RHS #

Antwoord:

Zie uitleg.

Uitleg:

Hier, # Tanx / (tanx + SiNx) = 1 / (1 + cosx) #

# LHS = tanx / (tanx + SiNx) = (sinx / cosx) / (sinx / cosx + sinx #

# LHS = sinx / (SiNx sinxcosx +) #

# = Sinx / (SiNx (1 + cosx)) #

# = 1 / (1 + cosx) #

# = RHS #