Question

y=根号（cosx-1/2）+lg（根号2-2sinx）的定义域

Answer 1

①cosx-1/2>0

②根号2-2sinx>0

由①得

cosx>1/2

x∈[-π/3+2kπ,π/3+2kπ]

由②得

x∈(-π/2+2kπ,π/4+2kπ)∪(3π/4+2kπ,3π/2+2kπ)

综上

x∈[-π/3+2kπ,π/4+2kπ)