Los alstublieft q 18 op?

Los alstublieft q 18 op?
Anonim

Gezien dat # A + B = 90 ^ @ # dan # = A 90 B ^ @ #

#rarr (tanAtanB tanAcotB +) / (sinAsecB) - (sin ^ 2B) / (cos ^ 2A) #

# = (Tana tanB cotB +) / (sinAsecB) - (sin ^ 2B) / (cos ^ 2 (90 ^ @ - B) #

# = ((Annuleren (sina) / cosa) sinB / cosB + cosB / sinB) / (annuleren (sina) / cosB) - (sin ^ 2B) / (sin ^ 2B) #

# = ((1 / cosa) (sin ^ 2B + cos ^ 2B) / (sinB * annuleren (cosB))) / (1 / annuleren (cosB)) - 1 #

# = 1 / (cos (90 ^ @ - B) sinB) -1 #

# = 1 / sin ^ 2B-1 = (1-sin ^ 2B) / sin ^ 2B = (cos ^ 2B) / (sin ^ 2B) = kinderbed ^ 2B #

Gezien dat # A + B = 90 ^ @ # dan A = 90-B ^ @ #

Nu

# (TanAtanB tanAcotB +) / (sinAsecB) - (sin ^ 2B) / (cos ^ 2A) #

# (Tan (90 ^ @ - B) tanB + tg (90 ^ @ - B) cotB) / (sin (90 ^ @ - B) SECB) - (sin ^ 2B) / (cos ^ 2 (90 ^ @ - B)) #

# = (CotBtanB cotBcotB +) / (cosBsecB) - (sin ^ 2B) / (sin ^ 2B) #

# = 1 + kinderbedje ^ 2B-1 = kinderbedje ^ 2B #