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

Question

Philoid · Accepted Answer

Given: x tan 45° cos 60° = sin 60° cot 60°

⇒ x × 1 × (1/2) = (√3/2) × (1/√3)

⇒ x/2 = 1/2

⇒ x = 1