Final answer:
The expression sin(84°)cos(43°) + cos(84°)sin(43°) simplifies to sin(127°) through the use of the sine addition formula.
Step-by-step explanation:
The expression sin(84°)cos(43°) + cos(84°)sin(43°) is equivalent to sin(84° + 43°) due to the sine addition formula. This formula states that sin(a + β) = sin(a)cos(β) + cos(a)sin(β). Hence, by applying the formula to our expression with a being 84° and β being 43°, we obtain the simplified result of sin(127°).