We can use the identity sin(2θ) = 2sin(θ)cos(θ) to simplify sin 17°cos 17° as follows:
sin 17°cos 17° = (1/2)sin(2(17°)) = (1/2)sin 34°
Therefore, we can express sin 17°cos 17° in terms of p as:
sin 17°cos 17° = (1/2)sin 34° = (1/2)p
So the value of sin 17°cos 17° in terms of p is (1/2)p.