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Show by vector method that sin(alpha-bet...

Show by vector method that `sin(alpha-beta)=sinalphacosbeta-cosalpha sinbeta.`

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Prove by vector method that sin(alpha+beta)=sinalphacosbeta+cosalphasinbeta.

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Prove by vector methods that sin(alpha+beta)=sin alpha cos beta+cos alpha sin beta

sin alpha=sinbeta, cos alpha=cos beta then

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Prove by vector metod the following formula of plane trigonometry cos(alpha-beta)=cosalpha cosbeta+sinalpha sinbeta

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By geometrical interpretation, prove that (i) sin(alpha+beta)=sin alpha cos beta+sinbeta cosalpha (ii) cos(alpha+beta)=cosalpha cosbeta -sin alpha sinbeta

By geometrical interpretation, prove that (i) sin(alpha+beta)=sin alpha cos beta+sinbeta cosalpha (ii) cos(alpha+beta)=cosalpha cosbeta -sin alpha sinbeta

By geometrical interpretation, prove that (i) sin(alpha+beta)=sin alpha cos beta+sinbeta cosalpha (ii) cos(alpha+beta)=cosalpha cosbeta -sin alpha sinbeta