1)sin((π/2)+t)=cost
cost=-1/2
t= ± arccos(-1/2)+2πk, k∈ N
t= ± (π -arccos(1/2))+2πk, k∈ N
t=± (2π/3)+2πk, k∈ N
О т в е т. ± (2π/3)+2πk, k∈ N
2) sint=√3/2
t=(-1)ⁿarcsin(√3/2)+πn, n∈ N
t=(-1)ⁿ(π/3)+πn, n∈ N⇒t₁=(π/3)+2πm, m∈ N; t₂=(2π/3)+2πm, m∈ N
О т в е т. (-1)ⁿ(π/3)+πn, n∈ N
1)sin((π/2)+t)=cost
cost=-1/2
t= ± arccos(-1/2)+2πk, k∈ N
t= ± (π -arccos(1/2))+2πk, k∈ N
t=± (2π/3)+2πk, k∈ N
О т в е т. ± (2π/3)+2πk, k∈ N
2) sint=√3/2
t=(-1)ⁿarcsin(√3/2)+πn, n∈ N
t=(-1)ⁿ(π/3)+πn, n∈ N⇒t₁=(π/3)+2πm, m∈ N; t₂=(2π/3)+2πm, m∈ N
О т в е т. (-1)ⁿ(π/3)+πn, n∈ N