cosx+cos2x应如何化简?
化简过程为:
cosx+cos2x
=cosx+cosx²-sinx²
=cosx+cosx²-sinx²+sinx²-sinx²
=cosx+cosx²-sinx²+cosx²-cosx²
=cosx+cosx²+cosx²-cosx²-sinx²
=cosx+cosx²+cosx²-(cosx²+sinx²)
=cosx+2cosx²-1
扩展资料:
三角函数公式
sin(3α) = 3sinα-4sin³α = 4sinα·sin(60°+α)sin(60°-α)
cos(3α) = 4cos³α-3cosα = 4cosα·cos(60°+α)cos(60°-α)
tan(3α) = (3tanα-tan³α)/(1-3tan²α) = tanαtan(π/3+α)tan(π/3-α)
cot(3α)=(cot³α-3cotα)/(3cot²α-1)
sin(α+β+γ)=sinα·cosβ·cosγ+cosα·sinβ·cosγ+cosα·cosβ·sinγ-sinα·sinβ·sinγ
cos(α+β+γ)=cosα·cosβ·cosγ-cosα·sinβ·sinγ-sinα·cosβ·sinγ-sinα·sinβ·cosγ
tan(α+β+γ)=(tanα+tanβ+tanγ-tanα·tanβ·tanγ)÷(1-tanα·tanβ-tanβ·tanγ-tanγ·tanα)