Question

If sin A = `1/2`, then the value of sec A is ______.

Options

• `2sqrt(3)`

• `1/sqrt(3)`

• `sqrt(3)`

• 1

Answer 1

If sin A = `1/2`, then the value of sec A is `underline(bb(2sqrt(3))`.

Explanation:

sin A = `1/2`

cos A = `sqrt(1 - sin^2A)`

= `sqrt(1 - 1/4)`

= `sqrt(3)/2`

sec A = `1/cosA`

= `1/(sqrt(3)/2)`

= `2/sqrt(3)`

sec A = `2/sqrt(3)`