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If 2sin^2A-cot^2B=1 then sinA sinB=...

If `2sin^2A-cot^2B=1` then `sinA sinB= `

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|[sin^2A, sinA, cos^2A] , [sin^2B, sinB, cos^2B] , [sin^2C, sinC, cos^2C]|=-(sinA-sinB)(sinB-sinC)(sinC-sinA)