Question

A)1+sin²41°+cos²41°= ??
b)tg35°razy tg65°+sin15° razy cos75°+cos15° razy sin75°=??
c)cos³17°+sin²17°cos17°=??

Answer 1

A)1+sin²41°+cos²41°=1+1=2
b)tg35°razy tg65°+sin15° razy cos75°+cos15° razy sin75°=
tg35°razy ctg35°+sin15° razy sin15°+cos15° razy cos15°=
1+sin15° razy sin15°+cos15° razy cos15°=
1+sin²15°+cos²15°=1+1=2
c)cos³17°+sin²17°cos17°=cos17°(cos²17°+sin²17)=cos17°1=cos17°

Answer 2

1+sin²41°+cos²41°= {z jedynki trygonometrycznej}=1+1=2
cos³17°+sin²17°cos17°=cos17°(cos²17+sin²17°)=cos17°=0,9563
tg35°razy tg65°+sin15° razy cos75°+cos15° razy sin75°==??
tg65=ctg(90-65)=ctg35
cos75=sin(90-75)=sin15
sin75=cos(90-75)=cos15
tg35 *ctg35+sin²15+cos²15=1+1=2