The first thing you must do is find KL. You use a^2 + b^2 = c^2 to do that.
Then you find the various sines and cosines and Tangents of the angles involved.
Step One
Find KL
a^2 + b^2 = c^2
c = 219
b = 178
a = ??
219^2 = 178^2 + a^2
47061 = 31684 + a^2
a^2 = 48061 - 31684
a^2 = 127.97
Step Two.
Find the sines and cosines of J and L
Choice A
Sin(J) =opposite/hypotenuse = 127/219 = 0.5799
Cos(L) = adjacent/hypotenuse = 127/219 = 0.5799
Conclusion Sin(J) = Cos(L) A is not true. Neither is bigger than the other.
Choice B
Choice B does exactly what Choice A did. The Sin of L is the same thing as the cos(J).
Choice C
C can't be true.
Tan(J) = opposite / Adjacent. = 127/178
Tan(L) = opposite / Adjacent = 178/127
One is larger than 1 and the other one is less than 1. They use the same values but in a different order.
D
We discussed this for choice A. So D is the correct answer
