Question

In a right triangle ABC, right-angled at A, if sin B = `1/4`, then the value of sec B is ______.

Options

• 4

• `sqrt15/4`

• `sqrt15`

• `4/sqrt15`

Answer 1

In a right triangle ABC, right-angled at A, if sin B = `1/4`, then the value of sec B is `bbunderline(4/sqrt15)`.

Explanation:

Sin B = `1/4=P/H`

∵ B = `sqrt(H^2-P^2)`

B = `sqrt((4)^2-(1)^2)`

B = `sqrt15`

∴ Sec B = `H/B`

= `4/sqrt15`