Question

If `sqrt(3) sin θ = cos θ`, then the value of θ is ______.

पर्याय

• `sqrt(3)`

• 60°

• `1/sqrt(3)`

• 30°

Answer 1

If `sqrt(3) sin θ = cos θ`, then the value of θ is 30°.

Explanation:

`sqrt(3) sin θ = cos θ`

`sqrt(3) = cos θ/sin θ`

`sqrt(3) = cot θ`

cot 30° = cot θ

θ = 30°