Question

1. (sin 60 + cos 60) : (tg 30 + tg 45)

2.(cos 45 - cos 30) ori (sin 45 + cos 30)

3. sin 30 + cos 30 supra ctg 45 + tg 60

Multumesc

Answer 1

sin60=rad3/2
cos60=1/2
tg30=rad3/3
tg45=1
cos45=rad2/2
cos30=rad3/2
sin45=rad2/2
sin30=1/2
ctg45=1
tg60=rad3

1. (rad3/2 + 1/2) : (rad3/3 + 1) =
(rad3 + 1)/2 × 3/(rad3 + 3) =
3(rad3 + 1)/2(rad3 + 3)

2. (rad2/2 - rad3/2) × (rad2/2 + rad3/2) =
(rad2 - rad3)/2 × (rad2 + rad3)/2 =
(2-3)/4 =
-1/4

3. 1/2 + rad3/2 + rad3 =
(1 + rad3 + 2rad3)/2 =
(1 + 3rad3)/2