Question

If sin θ = `1/3`, then sec θ is equal to ______.

विकल्प

• `(2sqrt2)/3`

• `3/(2sqrt2)`

• 3

• `1/sqrt3`

Answer 1

If sin θ = `1/3`, then sec θ is equal to `bbunderline(3/(2sqrt2))`.

Explanation:

Given that, 

⇒ sin θ = `1/3`

We have,

In the right ΔABC,

 

BC = `sqrt(9 - 1) = sqrt8 = 2sqrt2`

⇒ sec θ = `(AC)/(BC)` = `3/(2sqrt2)`