If in a A B C, ∠ C=90^∘, then prove that sin (A-B)=(a^2-b^2)/(a^2+b^2)

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If A+B = 90^(@), then prove that sin^(2)A+sin^(2) B=1 tan^(2)A+cot^(2) B=0. | 10 | TRIGONOMETRY ... If A+B = 90^(@), then prove that sin^(2)A+sin^(2) B=1 tan^(2)A+cot^(2) B=0. | 10 | TRIGONOMETRY ...