If cot (alpha +beta) =0 then
sin (alpha +2beta) =
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2
cot(α+β)=0
⇒α+β=
π
2
Now, sin(α+2β)=sin(α+β+β)
=sin(
π
2
+β)
=cosβ
∴sin(α+2β)=cosβ
Answered by
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