Find the value of the following:

Dear student,

sin(2cot-1(-512))As cot-1(x) =tan-1(1x) So cot-1(-512) =tan-1(-125) Hence sin(2cot-1(-512)) =sin(2tan-1(-125))As 2tan-1x =sin-12x1+x2 Hence sin(2tan-1(-125)) =sin(sin-12×-1251+14425)) =sin(sin-1(-120169)) =-120169

Regards

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