If , find the values of

sin 2x

Given:

To find: sin2x

We know that,

sin2x = 2 sinx cosx …(i)

Here, we don’t have the value of cos x. So, firstly we have to find the value of cosx

We know that,

sin²x + cos²x = 1

Putting the values, we get

Putting the value of sinx and cosx in eq. (i), we get

sin2x = 2sinx cosx