If cos(α + β) = 0, then sin(α + β) is equals to _______ .
Given: cos(α + β) = 0
We can write, cos(α + β)= cos 90° (∵ cos 90° = 0)
By comparing cosine equation on either sides,
We get
(α + β)= 90°
⇒ sin(α + β) = 1
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