Question

If `sqrt(3) sin theta = cos theta  and theta ` is an acute angle, find the value of θ .

Answer 1

We have ,

 `sqrt(3) sin theta = cos theta`

⇒ `sin theta/ cos theta = 1/ sqrt(3)`

⇒ `tan theta = 1/ sqrt(3)`

⇒  `tan theta = tan 30°`

∴ `theta = 30°`