Question

Find the value of x in the following:

`2 sin  x/2 = 1`

Answer 1

We have

`2 sin  x/2 = 1`

`=> sin  x/2 = 1/2`

Since `sin 30^@ = 1/2`

Therefore

`sin x/2 = 1/2`

`sin  x/2 = sin 30^@`

`x/2 = 30^@`

`x = 2 xx 30^@`

`=> x = 60^@`

Therefore

`x = 60^@`