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

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asked Jun 28, 2017 1.1k views

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Kablamus · Answer 1 · 2017-07-02T18:05:39+0000

cos (a-b) = cos(a)cos(b) + sin(a)sin(b)
cos (a+b) = cos(a)cos(b) - sin(a)sin(b)
so, cos(a-b) - cos(a+b) =

=cos(a)cos(b) + sin(a)sin(b) - [cos(a)cos(b) - sin(a)sin(b)]
=2sin(a)sin(b)

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

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