Question

反三角函数计算

Answer 1

1. 对 2. 对 3. arcsin (sin 9π/13)=arcsin (sin (π-4π/13))=arcsin (sin 4π/13)=4π/13 4. arcsin (sin 15π/13)=arcsin (sin(π+ 2π/13))=arcsin (-sin(2π/13)) =arcsin (sin(-2π/13))=-2π/13 5. arcsin (sin 22π/13)=arcsin (sin(2π-4π/13))=arcsin (sin(-4π/13))=-4π/13 6. arcsin (sin 31π/13)=arcsin (sin(2π+ 5π/13))=arcsin (sin 5π/13)= 5π/13 7. arcsin (sin -74π/13)=arcsin (sin (-6π+4π/13))=arcsin (sin 4π/13)=4π/13 .
1. 是 2. 是 3. nπ + (-1)^n(9π/13) 4. nπ + (-1)^n(15π/13) 5. nπ + (-1)^n(22π/13) 6. nπ + (-1)^n(31π/13) 7. nπ + (-1)^(n + 1)(74π/13)