0.12=15+x/150+x
15+x=18+0.12x
0.88x=3
x=3/0.88=3.4
0.1=7.5+x/150+x
7.5+x=15+0.1x
0.9x=7.5
x=7.5/0.9=8.33
Пусть<span> arcsin0,6=α, тогда sinα=0,6, α∈[-π/2;π/2]
cosα=</span><span>±√(1-sin²α)=</span><span>±√(1-0,6²)=</span><span>±0,8
</span>cosα=0,8, так как <span>α∈[-π/2;π/2]
</span><span>arccos0,8=β, тогда cosβ=0,6, β∈[0;π]
sinβ=</span>±√(1-cos²β)=±√(1-0,6²)=<span>±0,8
</span>
sinβ=0,8, <span><span>β∈[0;π]</span></span>
sin(arcsin0,6+arccos0,8)=sin(α+β)=sinα·cosβ+cosα·sinβ=
=0,6·0,6+0,8·0,8=1