Question

решите уравнение |sinx|=|cosx|

Answer 1

|f(x)|=|g(x)|⇒f(x)=$LARGE pm$g(x)
1) sinx=cosx|:cosx≠0
tgx=1
x=$frac{pi}{4}$+$pi$*n, n∈Z
2) sinx= -cosx|:cosx≠0
tgx= -1
x=$frac{-pi}{4}$+$pi$*k, k∈Z