Question

If x tan 45° cos 60° = sin 60° cot 60°, then x is equal to 

Options

• 1

• \[\sqrt{3}\] 

• \[\frac{1}{2}\]

• \[\frac{1}{\sqrt{2}}\]

Answer 1

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

Here we have to find the value of x

We know that ` tan 45°=1, cos 60°=1/2 , sin 60°=sqrt3/2,cot 60°=1/sqrt3`  

⇒` x tan 45° cos 60°= sin 60° cot 60°` 

⇒` x xx1xx1/2=sqrt3/2xx1/sqrt3` 

⇒ `x=1`