Using the trigonometric identity, cos^2(x) + sin^2(x) = 1, we can simplify the expression:

cos^2(26) + sin^2(154) + sin^2(49) + sin^2(41)
= 1 + 1 + sin^2(49) + sin^2(41)
= 2 + sin^2(49) + sin^2(41)

Since sin^2(x) + cos^2(x) = 1, we know that sin^2(x) = 1 - cos^2(x). We can use this identity to further simplify the expression:

2 + sin^2(49) + sin^2(41)
= 2 + (1 - cos^2(49)) + (1 - cos^2(41))
= 2 + 1 - cos^2(49) + 1 - cos^2(41)
= 4 - cos^2(49) - cos^2(41)

Now, we need to find the values of cos^2(49) and cos^2(41). Using the identity cos^2(x) + sin^2(x) = 1, we can find the values of cos^2(49) and cos^2(41):

cos^2(49) = 1 - sin^2(49)
cos^2(41) = 1 - sin^2(41)

Substituting these values back into the expression, we get:

4 - cos^2(49) - cos^2(41)
= 4 - (1 - sin^2(49)) - (1 - sin^2(41))
= 4 - 1 + sin^2(49) - 1 + sin^2(41)
= 2 + sin^2(49) + sin^2(41)

Therefore, cos^2(26) + sin^2(154) + sin^2(49) + sin^2(41) simplifies to 2 + sin^2(49) + sin^2(41).