Question

Find cot x if sin x cot x csc x = square root of two

Answer 1

`\text{Given: } sin(x) cot(x) cosec(x) = √(2)`

`\text{Find: } cot(x)`


`\text{Important identity: } \boxed{cosec(x) = (1)/(sin(x))}`


`sin(x) cot(x) cosec(x) = sin(x) cot(x) (1)/(sin(x)) = √(2)`

`\therefore cot(x) = √(2)`