sin (45⁰+θ) - cos (45⁰-θ) is equal to

As we know that, sin(90°-θ) = cos θ by sine property.

So, sin(45°+θ)-cos(45°-θ) = sin[90°-(45°-θ)]-cos(45°-θ)

= cos(45°-θ)-cos(45°-θ) (By using identity)

= 0