Verify the identity. Show your work. cos(α - β) - cos(α + β) = 2 sin α sin β my answer>cos=o

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Verify the identity. Show your work. cos(α - β) - cos(α + β) = 2 sin α sin β my answer>cos=o

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Teacher:Use the sum and difference formulas for this me:wtf you mean
cos(a-b)=cos(a)cos(b)+sin(a)sin(b) cos(a+b)=cos(a)cos(b)-sin(a)sin(b) these are the formulas

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Other answers:

woow ok so do i use both of them or what
you have both terms cos(a-b) and cos(a+b) so use both
in this problem
ok so this is a practice question imma gonna be graded on so can you help me plz
ok
2cos(A)cos(B)=2cos(A)cos(B) ok so i got this instead is this right
no it's not right
ok i'm going to solve it
\[\cos(\alpha-\beta)-\cos(\alpha+\beta)=(\cos \alpha \cos \beta +\sin \alpha \sin \beta)-(\cos \alpha \cos \beta -\sin \alpha \sin \beta )\]
now \[\cos \alpha \cos \beta +\sin \alpha \sin \beta -\cos \alpha \cos \beta +\sin \alpha \sin \beta =2 \sin \alpha \sin \beta \]

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