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cos3x和cosx的关系
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cos3x
=cos(2x+x)
=cos2xcosx-sin2xsinx
=(2cos_x-1)cosx-2(1-cos_x)cosx
=4cos_x-3cosx
三倍角公式:
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)/(1-3tan_α) = tanαtan(π/3+α)tan(π/3-α)
cot(3α)=(cot3α-3cotα)/(3cot2α-1)
=cos(2x+x)
=cos2xcosx-sin2xsinx
=(2cos_x-1)cosx-2(1-cos_x)cosx
=4cos_x-3cosx
三倍角公式:
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)/(1-3tan_α) = tanαtan(π/3+α)tan(π/3-α)
cot(3α)=(cot3α-3cotα)/(3cot2α-1)
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