To find sin(L) and tan(L), we need to use the fact that cos(L) = √3/2.

We know that sin^2(L) + cos^2(L) = 1.

Substitute cos(L) = √3/2 into the equation:
sin^2(L) + (√3/2)^2 = 1
sin^2(L) + 3/4 = 1
sin^2(L) = 1 - 3/4
sin^2(L) = 1/4
sin(L) = ±1/2

Now, we know that L is in the first quadrant where sin(L) is positive, so sin(L) = 1/2.

To find tan(L), we know that tan(L) = sin(L)/cos(L):
tan(L) = (1/2) / (√3/2)
tan(L) = 1/√3
tan(L) = √3/3

Therefore, sin(L) = 1/2 and tan(L) = √3/3.