9514 1404 393
Answer:
-√3
Step-by-step explanation:
We note that this matches the form for the tangent of the difference of two angles:
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(βb))
Here, we have α = 25π/24 and β = 3π/8. Then the angle difference is ...
α -β = π(25/24 -3/8) = π(2/3)
The value you seek is ...
tan(2π/3) = -√3
