如;sin65°=sin(90°-25°)=cos25°那tan呢?如角度为360°内,180°内呢?
1个回答

公式太多,列举如下:

sin(π-α)=sinα

cos(π-α)=-cosα

tan(π-α)=-tgα

cot(π-α)=-ctgα

sin(π+α)=-sinα

cos(π+α)=-cosα

tan(π+α)=tgα

cot(π+α)=ctgα

sin(2π-α)=-sinα

cos(2π-α)=cosα

tan(2π-α)=-tgα

cot(2π-α)=-ctgα

sin(2kπ+α)=sinα

cos(2kπ+α)=cosα

tan(2kπ+α)=tgα

cot(2kπ+α)=ctgα

(其中k∈Z)

sin(π/2-α)=cosα

cos(π/2-α)=sinα

tan(π/2-α)=ctgα

cot(π/2-α)=tgα

sin(π/2+α)=cosα

cos(π/2+α)=-sinα

tan(π/2+α)=-ctgα

cot(π/2+α)=-tgα

sin(3π/2-α)=-cosα

cos(3π/2-α)=-sinα

tan(3π/2-α)=ctgα

cot(3π/2-α)=tgα

sin(3π/2+α)=-cosα

cos(3π/2+α)=sinα

tan(3π/2+α)=-ctgα

cot(3π/2+α)=-tgα