化简(1)、sin(α+180度)cos(-α)sin(-α-180度)(2)、sin3(-α)cos(2π+α)tan
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化简
(1)、sin(α+180度)cos(-α)sin(-α-180度)
(2)、sin3(-α)cos(2π+α)tan(-α-π)
(1)、sin(α+180度)cos(-α)sin(-α-180度)
(2)、sin3(-α)cos(2π+α)tan(-α-π)
cosα secα=1 sinα/cosα=tanα=secα/cscα
cosα/sinα=cotα=cscα/secα sin2α+cos2α=1
sin(π/2-α)=cosα sin(π/2+α)=cosα
cos(π/2-α)=sinα cos(π/2+α)=-sinα
tan(π/2-α)=cotα tan(π/2+α)=-cotα
cot(π/2-α)=tanα cot(π/2+α)=-tanα
sin(π-α)=sinα sin(π+α)=-sinα
cos(π-α)=-cosα cos(π+α)=-cosα
tan(π-α)=-tanα tan(π+α)=tanα
cot(π-α)=-cotα cot(π+α)=cotα
sin(3π/2-α)=-cosα sin(3π/2+α)=-cosα
cos(3π/2-α)=-sinα cos(3π/2+α)=sinα
tan(3π/2-α)=cotα tan(3π/2+α)=-cotα
cot(3π/2-α)=tanα cot(3π/2+α)=-tanα
sin(2π-α)=-sinα sin(2kπ+α)=sinα
cos(2π-α)=cosα cos(2kπ+α)=cosα
tan(2π-α)=-tanα tan(2kπ+α)=tanα(其中k∈Z)
cot(2π-α)=-cotα cot(2kπ+α)=cotα
两角和与差的三角函数公式 万能公式
sin(α+β)=sinαcosβ+cosαsinβ
sin(α-β)=sinαcosβ-cosαsinβ
cos(α+β)=cosαcosβ-sinαsinβ
cos(α-β)=cosαcosβ+sinαsinβ
sin2α=2sinαcosα cos2α=
sin3α=3sinα-4sin3α cos3α=4cos3α-3cosα
sinα cosβ=-[sin(α+β)+sin(α-β)]
cosα sinβ=-[sin(α+β)-sin(α-β)]
cosα cosβ=-[cos(α+β)+cos(α-β)]
sinα sinβ=— -[cos(α+β)-cos(α-β)]
cosα/sinα=cotα=cscα/secα sin2α+cos2α=1
sin(π/2-α)=cosα sin(π/2+α)=cosα
cos(π/2-α)=sinα cos(π/2+α)=-sinα
tan(π/2-α)=cotα tan(π/2+α)=-cotα
cot(π/2-α)=tanα cot(π/2+α)=-tanα
sin(π-α)=sinα sin(π+α)=-sinα
cos(π-α)=-cosα cos(π+α)=-cosα
tan(π-α)=-tanα tan(π+α)=tanα
cot(π-α)=-cotα cot(π+α)=cotα
sin(3π/2-α)=-cosα sin(3π/2+α)=-cosα
cos(3π/2-α)=-sinα cos(3π/2+α)=sinα
tan(3π/2-α)=cotα tan(3π/2+α)=-cotα
cot(3π/2-α)=tanα cot(3π/2+α)=-tanα
sin(2π-α)=-sinα sin(2kπ+α)=sinα
cos(2π-α)=cosα cos(2kπ+α)=cosα
tan(2π-α)=-tanα tan(2kπ+α)=tanα(其中k∈Z)
cot(2π-α)=-cotα cot(2kπ+α)=cotα
两角和与差的三角函数公式 万能公式
sin(α+β)=sinαcosβ+cosαsinβ
sin(α-β)=sinαcosβ-cosαsinβ
cos(α+β)=cosαcosβ-sinαsinβ
cos(α-β)=cosαcosβ+sinαsinβ
sin2α=2sinαcosα cos2α=
sin3α=3sinα-4sin3α cos3α=4cos3α-3cosα
sinα cosβ=-[sin(α+β)+sin(α-β)]
cosα sinβ=-[sin(α+β)-sin(α-β)]
cosα cosβ=-[cos(α+β)+cos(α-β)]
sinα sinβ=— -[cos(α+β)-cos(α-β)]
化简(1)、sin(α+180度)cos(-α)sin(-α-180度)(2)、sin3(-α)cos(2π+α)tan
化简 (1)、sin(α+180度)cos(-α)sin(-α-180度) (2)、sin3(-α)cos(2π+α)t
化简 (1)、sin(α+180度)cos(-α)sin(-α-180度) (2)、sin3(-α)cos(2π+α)t
若tanα=根号下2 求1)(sinα+cosα)/(cosα-sinα) 2)2sin^α-sinαcosα+cos^
若tanα=根号2,求值(1)cosα+sinα/cosα-sinα;(2)2sin平方α-sinαcosα+cos平方
2sin²α-sinαcosα/sinαcosα+cos²α (tan=2)
已知tanα=1/3,计算(1)sinα+2cosα/5cosα-sinα,(2)1/2sinαcosα+cos^α
已知tan(3π+α)=2,求:1、(sinα+cosα)²;2、sinα-cosα/2sinα+cosα
求证:(1-sinα+cosα)/(1+sinα+cosα)=tan(π/4-α/2)
求证:1-2sinαcosα/cos²α-sin²α=tan(π/4-α)
试证明:1+2sinαcosα/cos平方α-sin平方α=tan(π/4-α)
①sin(α+180°)cos(-α)sin(-α-180°)和②sin³(-α)cos(2π+α)tan(-