Answer :

We are given that: cos (α + β) = 0


We can rewrite it as: cos (α + β) = cos (90° – 0°)


On comparing both sides, we get,


(α + β) = 0 = 90°


α = 90° – β


Therefore, sin (α – β) = sin (90° – β – β)


= sin (90° – 2β)


= cos 2β

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