Write as a single term: sin (25°) cos (10°) - cos (25°) sin (10°).

Answer: cos (25° + 10°)

Step-by-step explanation: The expression:

sin (25°) cos (10°) - cos (25°) sin (10°)

is associated to the expression for the cosine of the sum of two angles that is:

cos (α+β) = sinα * cosβ - cosα*sinβ

Hence if we do α = 25° and β = 10°

by subtitution we get:

cos (25° + 10°) = sin (25°) cos (10°) - cos (25°) sin (10°)