sin²(60°) * tan²(60°) =

First, let's calculate sin²(60°):

sin(60°) = √3/2

sin²(60°) = (√3/2)² = 3/4

Next, let's calculate tan²(60°):

tan(60°) = √3

tan²(60°) = (√3)² = 3

Now, multiply the two values:

(3/4) * 3 = 9/4

Therefore, sin²(60°) * tan²(60°) = 9/4.