thil2286 thil2286
  • 21-10-2019
  • Mathematics
contestada

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

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jtellezd jtellezd
  • 25-10-2019

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°)

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