Find x if sin-1(5/x) + sin-1(12/x) =pi/2

sin-15x+sin-112x=π2As we know that , sin-1x+cos-1x = π2 so, sin-15x=π2-sin-112x=cos-112xNow we know that cos-1x=sin-11-x2Sosin-15x=sin-11-12x2or 5x=1-12x2or 25x2=1-144x2169x2=1or x = ±13

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