If sin α + cosβ = 1 and α= 90°, find the value of 'β'. - Mathematics

If sin α + cosβ = 1 and α= 90°, find the value of 'β'.

Sum

sin α + cos β = 1
⇒ sin 90° + cos β = 1
⇒ 1 + cos β = 1
⇒ cos β = 0
⇒ cos β = cos 90°
⇒ β = 90°.

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