cot(3π/2+A)为什么等于-tanA

问题描述:

cot(3π/2+A)为什么等于-tanA

cot(3π/2+A)=cot(π+π/2+A)=cot(π/2+A)=-tanA为什么cot(π/2+A)=-tanA?公式要记住,直接用就是了,如π/2±α及3π/2±α与α的三角函数值之间的关系:   sin(π/2+α)= cosα   cos(π/2+α)= -sinα   tan(π/2+α)= -cotα   cot(π/2+α)= -tanα   sin(π/2-α)= cosα   cos(π/2-α)= sinα   tan(π/2-α)= cotα   cot(π/2-α)= tanα   sin(3π/2+α)= -cosα   cos(3π/2+α)= sinα   tan(3π/2+α)= -cotα   cot(3π/2+α)= -tanα   sin(3π/2-α)= -cosα   cos(3π/2-α)= -sinα   tan(3π/2-α)= cotα   cot(3π/2-α)= tanα   (以上k∈Z)