Final answer:
The given expression can be written as a single trigonometric function: sin(2(3π/8)).
Step-by-step explanation:
To write the given expression as a single trigonometric function, we can use the double angle formula for cosine:
cos(2x) = 2cos^2(x) - 1
Let's rewrite the expression using this formula:
2sin(3π/8)cos(3π/8) = sin(2(3π/8))
Therefore, the given expression as a single trigonometric function is sin(2(3π/8)).