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If sin(theta+alpha)=aandsin(theta+beta)=...

If `sin(theta+alpha)=aandsin(theta+beta)=b`, then prove that `cos2(alpha-beta)-4abcos(alpha-beta)=1-2a^(2)-2b^(2)`.

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The correct Answer is:
`1-2a^(2)-2b^(2)`
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