Question

If tan theta =3 then prove that sin theta cos theta=12/25​

Answer 1

Step-by-step explanation:

Best way is to use this identity

let tan(x)=t , then sin(2x)=2t/(1+t^2) (it is easy to prove , Google it to find it)

we also know that sin(2x) = 2sin(x)cos(x)

hence sin(x)cos(x)=t/(1+t^2)

now put t=3

sin(x)cos(x) = 3/(1+9)

Hence the answer is 3/10 or 0.3