Question

If x tan 60° cos 60°= sin 60° cot 60°, then x = ______.

Options

• cos 30°

• tan 30°

• sin 30°

• cot 30°

Answer 1

If x tan 60° cos 60°= sin 60° cot 60°, then x = tan 30°.

Explanation:

Given, x tan 60° cos 60°= sin 60° cot 60°

x tan 60° cos 60°= sin 60° × `1/tan 60^circ`

Putting values

`x xx sqrt(3) xx 1/2  = sqrt(3)/2 xx 1/sqrt(3)`

`x xx sqrt(3)/2 = 1/2`

x = `1/2 xx 2/sqrt(3)`

x = `1/sqrt(3)`