Question

If x tan 45° cos 60° = sin 60° cot 60° then x = ?

Options

• 1

• `1/2`

• `1/sqrt(2)`

• `sqrt(3)`

Answer 1

1

Explanation:

`x = (sin 60^circ cot 60^circ)/(tan 45^circ cos 60^circ)`

= `(tan 60^circ cot 60^circ)/(tan 45^circ)`

= `1/1`

= 1