cos107°cos17° + sin107°sin17° = cos(107° - 17°) = cos90° = 0.
cos(5π/8)cos(3π/8) + sin(5π/8)sin(3π/8) = cos(5π/8 - 3π/8) = cosπ/4 = 1/√2.
cos107°cos17° + sin107°sin17° = cos(107° - 17°) = cos90° = 0.
cos(5π/8)cos(3π/8) + sin(5π/8)sin(3π/8) = cos(5π/8 - 3π/8) = cosπ/4 = 1/√2.