1/√2 + 6(1) - 1/√2
= 1/√2 + 6 - 1/√2
= (1 - 1)/√2 + 6
= 0/√2 + 6
= 0 + 6
= 6

Therefore, sin(π/4) + 6 cot(π/4) - cos(π/4) simplifies to 6.