Sinx-cosx=1.08 где x

Question

Sinx-cosx=1.08 где x

Answer 1

Sinx-sin(π/2-x)=1,08
2sin(x-π/4)cosπ/4=1,08
2*√2/2sin(x-π/4)=1,08
sin(x-π/4)=1,08/√2=0,54√2
x-π/4=(-1)^n*arcsin0,54√2+πn
x=π/4+(-1)^n*arcsin0,54√2+πn