Question

How is the expression sin(x₁−x₂) simplified?

a) sin(x₁)−sin(x₂)
b) sin(x₁)+sin(x₂)
c) cos(x₁)−cos(x₂)
d) cos(x₁)+cos(x₂)

Answer 1

The expression sin(x₁−x₂) can be simplified as sin(x₁)−sin(x₂). Hence the correct answer is option A

Step-by-step explanation:

The expression sin(x₁−x₂) can be simplified using the trigonometric identity for the difference of angles, which states that sin(a - b) = sin(a)cos(b) - cos(a)sin(b). Applying this identity to sin(x₁−x₂), we have:

Answer: a) sin(x₁)−sin(x₂)