In ∆ABC, if angle C=90°, prove that sin²A+sin²B=1.
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sin A = BC/AB
sin B = AC/AB
sin^2 A + sin^ 2 B. = BC^2/AB^2 + AC^2/AB^2
= BC^2 + AC^2)/ AB^2
AS its right angled
AB^2 = AC^2 + BC^2
So it becomes AB^2/ AB^2 = 1
sin B = AC/AB
sin^2 A + sin^ 2 B. = BC^2/AB^2 + AC^2/AB^2
= BC^2 + AC^2)/ AB^2
AS its right angled
AB^2 = AC^2 + BC^2
So it becomes AB^2/ AB^2 = 1
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