Question

If  `sin theta = 1/2 , " write the value of" ( 3 cot^2 theta + 3).`

Answer 1

As , `sin theta = 1/2 `

So , `cosec theta = 1/ sin theta = 2     ........(i)`

Now , 

`3 cot ^2 theta + 3 `

              = `3 ( cot^2 theta + 1)`

              =`3 cosec^2 theta`

              =` 3(2)^2            [ Using (i)]`

              =3(4)

               =12