三角恒等变换公式是什么?

如题所述

三角恒等变换公式是。

sin(2kπ+α)=sinα,cos(2kπ+α)=cosα

tan(kπ+α)=tanα

cot(2kπ+α)=cotα,sec(2kπ+α)=secα

csc(2kπ+α)=cscα

sin(π+α)=-sinα,cos(π+α)=-cosα

tan(π+α)=tanα

cot(π+α)=cotα,sec(π+α)=-secα

csc(π+α)=-cscα

sin(-α)=-sinα,cos(-α)=cosα

tan(-α)=-tanα

cot(-α)=-cotα,sec(-α)=secα

csc(-α)=-cscα

sin(π-α)=sinα,cos(π-α)=-cosα

tan(π-α)=-tanα

cot(π-α)=-cotα,sec(π-α)=-secα

csc(π-α)=cscα

sin(α-π)=-sinα,cos(α-π)=-cosα

tan(α-π)=tanα

cot(α-π)=cotα,sec(α-π)=-secα

csc(α-π)=-cscα

sin(2π-α)=-sinα,cos(2π-α)=cosα

tan(2π-α)=-tanα

cot(2π-α)=-cotα,sec(2π-α)=secα

csc(2π-α)=-cscα

sin(π/2+α)=cosα,cos(π/2+α)=-sinα

tan(π/2+α)=-cotα

cot(π/2+α)=-tanα,sec(π/2+α)=-cscα

csc(π/2+α)=secα

sin(π/2-α)=cosα,cos(π/2-α)=sinα

tan(π/2-α)=cotα

cot(π/2-α)=tanα,sec(π/2-α)=cscα

csc(π/2-α)=secα

sin(3π/2+α)=-cosα,cos(3π/2+α)=sinα

tan(3π/2+α)=-cotα

cot(3π/2+α)=-tanα,sec(3π/2+α)=cscα

csc(3π/2+α)=-secα

sin(3π/2-α)=-cosα,cos(3π/2-α)=-sinα

tan(3π/2-α)=cotα

cot(3π/2-α)=tanα,sec(3π/2-α)=-cscα

csc(3π/2-α)=-secα

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