求4pai（即3.14）/3的六个三角比的值求sin和cos就行,像这种题目怎么用诱导公式?

Question

求 4pai（即3.14）/3 的六个三角比的值
求sin和cos就行,
像这种题目怎么用诱导公式?

Answer 1

sin(4/3π)=sin(π+π/3)=-sin(π/3)=-√3/2
cos(4/3π)=cos(π+π/3)=-cos(π/3)=-1/2
tan(4/3π)=sin(4/3π)/cos(4/3π)=√3
cot(4/3π)=cos(4/3π)/sin(4/3π)=√3/3
sec(4/3π)=1/cos(4/3π)=-2
csc(4/3π)=1/sin(4/3π)=-2√3/3