cot(3π/2+A)为什么等于-tanA
问题描述:
cot(3π/2+A)为什么等于-tanA
答
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)