Question

If tan 30 = `sqrt 3` then `theta/2` equals ______.

Options

• 60°

• 30°

• 20°

• 10°

Answer 1

If tan 30 = `sqrt 3` then `theta/2` equals 10°.

Explanation:

tan 30 = `sqrt 3`

We know that tan 60° = `sqrt 3`​

So, comparing 3θ = 60°

θ = 20°

`theta/2 = 10\^circ`