448.
а) tg α=3
tg(α+β)=1
tg(α+β)= tgα+tgβ = 3+tgβ
1-tgα tgβ 1-3tgβ
3+tgβ = 1
1-3tgβ
3+tgβ=1-3tgβ
4tgβ=-2
tgβ=-1/2
450.
a) cosα=3/5 0<α<π/2 - 1 четверть<br>sinα=√1-cos²α=√1-(3/5)²=√1-(9/25)=√(16/25)=4/5
tgα=sinα = 4/5 =4/3
cosα 3/5
tg(α+π/3)= tgα+tgπ/3 = 4/3 + √3
1-tgα * tgπ/3 1-(4/3)√3