Question

The value of sin 15° is:

Options

• `(sqrt3 + 1)/(2sqrt2)`

• `(sqrt3 - 1)/(2sqrt2)`

• `sqrt3/sqrt2`

• `(sqrt3)/(2sqrt2)`

Answer 1

`(sqrt3 - 1)/(2sqrt2)`

Explanation:

sin 15° = sin(45° – 30°)

= sin 45° cos 30° – cos 45° sin 30°

`= 1/sqrt2 xx sqrt3/2 - 1/sqrt2 xx 1/2`

`=(sqrt3 - 1)/(2sqrt2)`